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A213546 Principal diagonal of the convolution array A213505. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
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
Sequence in context: A007204 A120096 A115330 * A145964 A020250 A201089
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 16 2012
STATUS
approved

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Last modified July 20 20:50 EDT 2024. Contains 374459 sequences. (Running on oeis4.)