A060105 Sixth column (m=5) of triangle A060102.
1, 26, 246, 1442, 6292, 22374, 68354, 185614, 458601, 1048476, 2246244, 4553484, 8801104, 16319252, 29174652, 50495236, 84906041, 139104966, 222612170, 348732670, 535778100, 808600650, 1200499950, 1755572130, 2531579505, 3603429336, 5067360936, 7045952056
Offset: 0
Links
- T. D. Noe, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
Crossrefs
Cf. A060104.
Programs
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Mathematica
LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1,26,246,1442,6292,22374,68354,185614,458601,1048476,2246244},30] (* Harvey P. Dale, Feb 22 2023 *)
Formula
a(n)=(n+4)*(8*n^2+64*n+45)*binomial(n+7, 7)/(4*45).
G.f.: (1+15*x+15*x^2+x^3)/(1-x)^11.