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

Offset: 0

Author

Wolfdieter Lang, Apr 20 2001

Keywords

• nonn
• easy

Comments

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

Links

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

Crossrefs

Cf. A060921, A061177, A061182.

Programs

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 *)

Formula

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

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