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A083079 4th column of number array A083075. 2
1, 63, 229, 547, 1065, 1831, 2893, 4299, 6097, 8335, 11061, 14323, 18169, 22647, 27805, 33691, 40353, 47839, 56197, 65475, 75721, 86983, 99309, 112747, 127345, 143151, 160213, 178579, 198297, 219415, 241981, 266043, 291649, 318847, 347685 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

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

FORMULA

a(n) = 8*n^3 + 28*n^2 + 26*n + 1 = (n*(2n+3)^3 + 1)/(n+1).

G.f.: (1 + 59*x - 17*x^2 + 5*x^3)/(1-x)^4. - Harvey P. Dale, May 14 2011

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(0)=1, a(1)=63, a(2)=229, a(3)=547. - Harvey P. Dale, May 14 2011

MATHEMATICA

Table[8 n^3 + 28 n^2 + 26 n + 1, {n, 0, 40}] (* or *) LinearRecurrence[ {4, -6, 4, -1}, {1, 63, 229, 547}, 40] (* Harvey P. Dale, May 14 2011 *)

PROG

(MAGMA) [8*n^3+28*n^2+26*n+1: n in [0..30]]; // Vincenzo Librandi, Nov 12 2011

CROSSREFS

Cf. A082109.

Sequence in context: A035329 A097973 A038644 * A230651 A184457 A184449

Adjacent sequences:  A083076 A083077 A083078 * A083080 A083081 A083082

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified August 3 13:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)