A167567 The fourth left hand column of triangle A167565.

0, 14, 124, 601, 2120, 6096, 15168, 33858, 69432, 132990, 240812, 415987, 690352, 1106768, 1721760, 2608548, 3860496, 5595006, 7957884, 11128205, 15323704, 20806720, 27890720, 36947430, 48414600, 62804430, 80712684

Offset

4,2

Links

G. C. Greubel, Table of n, a(n) for n = 4..1000

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

a(n) = (27*n^7 - 287*n^6 + 1113*n^5 - 1925*n^4 + 1428*n^3 - 308*n^2 - 48*n)/7!.

G.f.: (1*z^3 + 12*z^2 + 14*z + 0)/(1-z)^8.

a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8).

a(n) - 7*a(n-1) + 21*a(n-2) - 35*a(n-3) + 35*a(n-4) - 21*a(n-5) + 7*a(n-6) - a(n-7) = 27.

Mathematica

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 14, 124, 601,
  2120, 6096, 15168, 33858}, 100] (* G. C. Greubel, Jun 16 2016 *)

Crossrefs

Equals the fourth left hand column of triangle A167565.

Other left hand columns are A000027, A000292, A167566 and A168304.

Sequence in context: A370966 A235710 A239544 * A188411 A125377 A147590

Adjacent sequences: A167564 A167565 A167566 * A167568 A167569 A167570

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Extensions

Formulae and links added by Johannes W. Meijer, Nov 23 2009

Status

approved