A152100 G.f.: 1 - 2*x*(-7 - 10*x + x^2)/(x - 1)^4.

1, 14, 76, 218, 472, 870, 1444, 2226, 3248, 4542, 6140, 8074, 10376, 13078, 16212, 19810, 23904, 28526, 33708, 39482, 45880, 52934, 60676, 69138, 78352, 88350, 99164, 110826, 123368, 136822, 151220, 166594, 182976, 200398, 218892, 238490

Offset

0,2

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1).

Formula

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4), n > 4. a(n) = 2*n*(8*n^2 + 12*n + 1)/3, n > 0. - R. J. Mathar, Sep 22 2009

Mathematica

Join[{1}, LinearRecurrence[{4, -6, 4, -1}, {14, 76, 218, 472}, 40]] (* Harvey P. Dale, Aug 07 2012 *)

Crossrefs

Cf. A006071.

Sequence in context: A296996 A270704 A200554 * A173962 A200547 A240045

Adjacent sequences: A152097 A152098 A152099 * A152101 A152102 A152103

Keyword

nonn,easy

Author

N. J. A. Sloane, Sep 21 2009, based on email from R. J. Mathar, Mar 22 2009

Extensions

More terms from R. J. Mathar, Sep 22 2009

Status

approved