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A213565
Principal diagonal of the convolution array A213564.
3
1, 21, 127, 467, 1302, 3038, 6258, 11754, 20559, 33979, 53625, 81445, 119756, 171276, 239156, 327012, 438957, 579633, 754243, 968583, 1229074, 1542794, 1917510, 2361710, 2884635, 3496311, 4207581, 5030137, 5976552, 7060312
OFFSET
1,2
FORMULA
a(n) = (16*n^5 + 85*n^4 + 15*n^3 - 25*n^2 - n)/60.
a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).
G.f.: x*(1 + 15*x + 16*x^2)/(1 - x)^6.
MATHEMATICA
(See A213564.)
CROSSREFS
Sequence in context: A306128 A316310 A317265 * A041852 A220712 A295916
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 18 2012
STATUS
approved