A213436 Principal diagonal of the convolution array A212891.

1, 17, 84, 260, 625, 1281, 2352, 3984, 6345, 9625, 14036, 19812, 27209, 36505, 48000, 62016, 78897, 99009, 122740, 150500, 182721, 219857, 262384, 310800, 365625, 427401, 496692, 574084, 660185, 755625, 861056, 977152, 1104609

Offset

1,2

Links

Table of n, a(n) for n=1..33.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

a(n) = (11*n^4 + 6*n^3 - 5*n^2)/12.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).

G.f.: x*(1 + 12*x + 9*x^2)/(1 - x)^5.

Mathematica

(See A212891.)

Crossrefs

Cf. A212891, A213500.

Sequence in context: A193046 A158528 A197346 * A239667 A344523 A156968

Adjacent sequences: A213433 A213434 A213435 * A213437 A213438 A213439

Keyword

nonn,easy

Author

Clark Kimberling, Jun 16 2012

Status

approved