A029388 - OEIS

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A029388

Expansion of 1/((1-x^5)(1-x^6)(1-x^9)(1-x^11)).

1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 4, 5, 4, 5, 5, 5, 6, 7, 6, 7, 8, 7, 9, 9, 9, 10, 11, 10, 12, 13, 12, 14, 14, 14, 16, 17, 16, 18, 19, 19, 21, 21, 21, 23, 25, 24, 26, 27, 27, 30, 31, 30, 32, 34, 34, 37, 38, 37, 40, 42, 42, 45, 46, 45, 49, 51, 51

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OFFSET

0,12

LINKS

Table of n, a(n) for n=0..82.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1).

FORMULA

a(n) = a(n-5)+a(n-6)+a(n-9)-a(n-14)-a(n-15)-a(n-16)-a(n-17)+a(n-22)+a(n-25)+a(n-26)-a(n-31). - Wesley Ivan Hurt, May 28 2021

MATHEMATICA

CoefficientList[Series[1/((1-x^5)(1-x^6)(1-x^9)(1-x^11)), {x, 0, 100}], x] (* Stefan Steinerberger, Apr 19 2006 *)

LinearRecurrence[{0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, -1}, {1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 3, 3, 3, 3, 3, 3, 4, 5, 4, 5, 5}, 100] (* Harvey P. Dale, Jun 21 2021 *)

PROG

(PARI) Vec(1/((1-x^5)*(1-x^6)*(1-x^9)*(1-x^11)) + O(x^80)) \\ Jinyuan Wang, Mar 11 2020

CROSSREFS

Sequence in context: A078808 A030363 A236460 * A329972 A321005 A055254

Adjacent sequences: A029385 A029386 A029387 * A029389 A029390 A029391

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Stefan Steinerberger, Apr 19 2006

STATUS

approved