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A213754 Principal diagonal of the convolution array A213753. 3
1, 16, 111, 576, 2631, 11292, 46927, 191680, 775599, 3122076, 12531591, 50220912, 201088855, 804798268, 3220143903, 12882607872, 51534757599, 206148206268, 824612224663, 3298489794160, 13194045161031, 52776361000476 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (11,-47,101,-116,68,-16).

FORMULA

a(n) = -3*2^n + 3*2^(2*n) - n*2^(n+1) - n^2.

a(n) = 11*a(n-1) - 47*a(n-2) + 101*a(n-3) - 116*a(n-4) + 68*a(n-5) - 16*a(n-6) for n>5. Corrected by Colin Barker, Nov 07 2017

G.f.:  f(x)/g(x), where f(x) = x*(1 + 5*x - 18*x^2 + 6*x^3 + 12*x^4) and g(x) = (1 - 4*x) * (1 - x)^3 * (1 - 2*x)^2.

MATHEMATICA

(See A213753.)

PROG

(PARI) Vec(x*(1 + 5*x - 18*x^2 + 6*x^3 + 12*x^4) / ((1 - x)^3*(1 - 2*x)^2*(1 - 4*x)) + O(x^30)) \\ Colin Barker, Nov 07 2017

CROSSREFS

Cf. A213753, A213500.

Sequence in context: A177046 A234250 A240786 * A279425 A144449 A035016

Adjacent sequences:  A213751 A213752 A213753 * A213755 A213756 A213757

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 20 2012

STATUS

approved

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Last modified April 23 06:30 EDT 2021. Contains 343199 sequences. (Running on oeis4.)