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Triangular array T read by rows: T(n,0)=T(n,n)=1 for n >= 0; for n >= 2 and 1 <= k <= n-1, T(n,k) = T(n-1,k-1) + T(n-2,k-1) + T(n-1,k) if 1 <= k <= floor(n/2), else T(n,k) = T(n-1,k-1) + T(n-1,k).
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1, 1, 1, 1, 3, 1, 1, 5, 4, 1, 1, 7, 12, 5, 1, 1, 9, 24, 17, 6, 1, 1, 11, 40, 53, 23, 7, 1, 1, 13, 60, 117, 76, 30, 8, 1, 1, 15, 84, 217, 246, 106, 38, 9, 1, 1, 17, 112, 361, 580, 352, 144, 47, 10, 1, 1, 19, 144, 557, 1158, 1178, 496, 191, 57, 11, 1
a(n) = T(2n,n), T given by A026780.
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1, 3, 12, 53, 246, 1178, 5768, 28731, 145108, 741392, 3825418, 19907156, 104370554, 550816506, 2924018194, 15603778253, 83661779470, 450479003038, 2435009205992, 13208558795146, 71879906857596, 392320357251928, 2147102400154768, 11780181236675858, 64782405317073968, 357022158144941548
a(n) = Sum_{k=0..n} T(n,k), T given by A026780.
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1, 2, 5, 11, 26, 58, 136, 306, 717, 1625, 3813, 8697, 20451, 46909, 110563, 254855, 602042, 1393746, 3299304, 7666786, 18182976, 42391546, 100704606, 235452416, 560147414, 1312916040, 3127406812, 7346213746, 17518138314, 41228281888, 98408997716, 231990850378, 554207752781, 1308436686305, 3128033585157
a(n) = T(2n,n-1), T given by A026780.
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1, 7, 40, 217, 1158, 6150, 32656, 173719, 926664, 4958556, 26619438, 143365880, 774562478, 4197344582, 22810572062, 124300860689, 679081142350, 3718894341450, 20412141531664, 112276061739814, 618806031336236, 3416954495002676
a(n) = T(2n, n-2), T given by A026780.
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1, 11, 84, 557, 3446, 20514, 119336, 684227, 3886460, 21939528, 123347842, 691644044, 3871738018, 21652138770, 121026492186, 676391629701, 3780636102222, 21137831159462, 118234019051048, 661686074145618, 3705252204960252
a(n) = T(2n-1, n-1), T given by A026780.
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1, 5, 24, 117, 580, 2916, 14834, 76221, 395048, 2063104, 10847078, 57373672, 305110106, 1630489090, 8751851866, 47166202181, 255128842340, 1384688987728, 7538592535170, 41159292861980, 225315261459390, 1236441650047554
a(n) = T(2n-1, n-2), T given by A026780.
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1, 9, 60, 361, 2076, 11672, 64842, 357897, 1968788, 10813804, 59372770, 326086492, 1792293014, 9861375614, 54324086446, 299651439321, 1655124211372, 9154654655044, 50704627346170, 281214708137032, 1561706813618886
a(n) = T(n, floor(n/2)), T given by A026780.
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1, 1, 3, 5, 12, 24, 53, 117, 246, 580, 1178, 2916, 5768, 14834, 28731, 76221, 145108, 395048, 741392, 2063104, 3825418, 10847078, 19907156, 57373672, 104370554, 305110106, 550816506, 1630489090, 2924018194, 8751851866
a(n) = Sum_{i=0..n} Sum_{j=0..n} T(i,j), T given by A026780.
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1, 3, 8, 19, 45, 103, 239, 545, 1262, 2887, 6700, 15397, 35848, 82757, 193320, 448175, 1050217, 2443963, 5743267, 13410053, 31593029, 73984575, 174689181, 410141597, 970289011, 2283205051, 5410611863, 12756825609, 30274963923
a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026780.
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1, 1, 2, 4, 7, 12, 23, 41, 72, 135, 243, 432, 804, 1455, 2608, 4836, 8785, 15838, 29306, 53385, 96654, 178600, 326019, 592140, 1093135, 1998537, 3638700, 6712659, 12287071, 22412784, 41325279, 75712253, 138308808, 254912873
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