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Stefano Spezia, <a href="/A064304/b064304.txt">Table of n, a(n) for n = 0..10000</a>
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<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
E.g.f.: exp(x)*(1 + 428*x + 6866*x^2 + 15768*x^3 + 9990*x^4 + 2112*x^5 + 132*x^6). - Stefano Spezia, Jul 24 2022
a(n) = 1 + 6*n + 20*n^2 + 48*n^3 + 90*n^4 + 132*n^5 + 132*n^6. Seventh , compare to row polynomial (n = 6) of Catalan triangle A009766.
G.f.: (1 + 422*x + 11607*x^2 + 43940*x^3 + 34063*x^4 + 4950*x^5 + 57*x^6)/(1 - x)^7.
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_Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), _, Sep 13 2001
Eighth diagonal of triangle A064094.
1, 429, 14589, 137089, 702297, 2537781, 7312789, 17981769, 39322929, 78571837, 146150061, 256488849, 428947849, 688828869, 1068484677, 1608522841, 2359104609, 3381338829, 4748770909, 6548966817
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a(n)= 1+6*n+20*n^2+48*n^3+90*n^4+132*n^5+132*n^6. Seventh row polynomial (n=6) of Catalan triangle A009766.
G.f.:(1+422*x+11607*x^2+43940*x^3+34063*x^4+4950*x^5+57*x^6)/(1-x)^7.
A064304 (eighth diagonal).
nonn,easy
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Sep 13 2001
approved