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A035107 First differences give (essentially) A028242. 3
3, 9, 17, 29, 44, 64, 88, 118, 153, 195, 243, 299, 362, 434, 514, 604, 703, 813, 933, 1065, 1208, 1364, 1532, 1714, 1909, 2119, 2343, 2583, 2838, 3110, 3398, 3704, 4027, 4369, 4729, 5109, 5508, 5928, 6368, 6830, 7313, 7819, 8347, 8899, 9474 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (3,-2,-2,3,-1).

FORMULA

a(n) = (4*n^3 +54*n^2 +212*n +153 -9*(-1)^n)/48.

G.f.: (2*x^3-4*x^2+3) / ((x-1)^4*(x+1)). - Colin Barker, Mar 04 2013

MATHEMATICA

LinearRecurrence[{3, -2, -2, 3, -1}, {3, 9, 17, 29, 44}, 50] (* Harvey P. Dale, Oct 20 2013 *)

CoefficientList[Series[(2 x^3 - 4 x^2 + 3)/((x - 1)^4 (x + 1)), {x, 0, 50}], x] (* Vincenzo Librandi, Oct 21 2013 *)

PROG

(MAGMA) [(4*n^3+54*n^2+212*n+153-9*(-1)^n)/48: n in [0..50]]; // Vincenzo Librandi, Oct 21 2013

CROSSREFS

Cf. A028242, A004652, A035104, A035106.

Sequence in context: A057258 A018466 A171152 * A090262 A190815 A006459

Adjacent sequences:  A035104 A035105 A035106 * A035108 A035109 A035110

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 29 19:29 EDT 2020. Contains 338069 sequences. (Running on oeis4.)