A213546 Principal diagonal of the convolution array A213505.

1, 25, 170, 674, 1979, 4795, 10164, 19524, 34773, 58333, 93214, 143078, 212303, 306047, 430312, 592008, 799017, 1060257, 1385746, 1786666, 2275427, 2865731, 3572636, 4412620, 5403645, 6565221, 7918470, 9486190, 11292919, 13364999, 15730640, 18419984, 21465169

Offset

1,2

Links

Clark Kimberling, Table of n, a(n) for n = 1..200

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

a(n) = (16*n^5 + 15*n^4 - n)/30.

a(n) = 6*a(n-1) - 10*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6).

G.f.: x*(1 + 19*x + 35*x^2 + 9*x^3)/(1 - x)^6.

E.g.f.: exp(x)*x*(30 + 345*x + 490*x^2 + 175*x^3 + 16*x^4)/30. - Stefano Spezia, Oct 28 2023

Mathematica

(See A213505.)

Crossrefs

Cf. A213505, A213500.

Sequence in context: A007204 A120096 A115330 * A145964 A020250 A201089

Adjacent sequences: A213543 A213544 A213545 * A213547 A213548 A213549

Keyword

nonn,easy

Author

Clark Kimberling, Jun 16 2012

Status

approved