A061183 - OEIS

A061183

One-fourth of the fourth (m=3) column of triangle A060921 (bisection of Fibonacci triangle, odd part).

1, 10, 64, 331, 1505, 6272, 24540, 91527, 328768, 1145650, 3893630, 12958400, 42364427, 136389128, 433263360, 1360269093, 4226523495, 13011186624, 39722775806, 120366164765, 362255552384, 1083513943700

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OFFSET

0,2

COMMENTS

Numerator polynomial of g.f. is (1/4) * Sum_{m=0..3} A061177(3,m)*x^m.

LINKS

Table of n, a(n) for n=0..21.

Index entries for linear recurrences with constant coefficients, signature (12, -58, 144, -195, 144, -58, 12, -1).

FORMULA

a(n) = A060921(n+3, 3)/4.

G.f.: ((1-x^3)-2*(x-x^2))/(1-3*x+x^2)^4.

MATHEMATICA

CoefficientList[Series[((1-x^3)-2(x-x^2))/(1-3x+x^2)^4, {x, 0, 30}], x] (* or *) LinearRecurrence[{12, -58, 144, -195, 144, -58, 12, -1}, {1, 10, 64, 331, 1505, 6272, 24540, 91527}, 30] (* Harvey P. Dale, Jun 17 2022 *)

CROSSREFS

Cf. A060921, A061177, A061182.

Sequence in context: A036426 A245068 A055855 * A367591 A241401 A219934

Adjacent sequences: A061180 A061181 A061182 * A061184 A061185 A061186

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Apr 20 2001

STATUS

approved