A202481 Column k = 3 of triangular array in A165241.

1, 10, 55, 231, 833, 2720, 8280, 23920, 66352, 178176, 465920, 1191680, 2991360, 7389184, 17999872, 43315200, 103116800, 243138560, 568393728, 1318518784, 3037265920, 6952058880, 15820390400, 35809918976, 80659611648

Offset: 0

Author

Philippe Deléham, Dec 20 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (8,-24,32,-16).

Crossrefs

Cf. A011782, A084858, A165241, A202480

Programs

Mathematica

LinearRecurrence[{8,-24,32,-16},{1,10,55,231,833},30] (* Harvey P. Dale, Dec 04 2018 *)

Formula

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

a(n) = A165241(n+3,3).

a(n) = 2^n*(n+3)*(3*n+2)*(3*n+5)/32 for n>0. - Bruno Berselli, Dec 21 2011