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A141530 4*n^3-6*n^2+1 7
1, -1, 9, 55, 161, 351, 649, 1079, 1665, 2431, 3401, 4599, 6049, 7775, 9801, 12151, 14849, 17919, 21385, 25271, 29601, 34399, 39689, 45495, 51841, 58751, 66249, 74359, 83105, 92511, 102601, 113399, 124929, 137215, 150281, 164151, 178849, 194399, 210825, 228151 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..39.

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

FORMULA

a(n) = (2n-1)(2n^2-2n-1) = A060747(n)*A132209(n-1), n > 1. - R. J. Mathar, Feb 22 2009

G.f.: (1-5*x+19*x^2+9*x^3)/(1-x)^4. - Jaume Oliver Lafont, Aug 30 2009

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) with a(0)=1, a(1)=-1, a(2)=9, a(3)=55. - Harvey P. Dale, Nov 30 2011

MATHEMATICA

Table[EulerE[3, n], {n, 0, 50}]*4; ..and/or..Array[4*#^3-6*#^2+1&, 50, 0] (* Vladimir Joseph Stephan Orlovsky, Nov 03 2009 *)

LinearRecurrence[{4, -6, 4, -1}, {1, -1, 9, 55}, 50] (* Harvey P. Dale, Nov 30 2011 *)

PROG

(PARI) a(n)=4*n^3-6*n^2+1 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. A141047, A141417, A046092. See Librandi's comment in A078371.

Sequence in context: A058852 A145875 A068970 * A263478 A016269 A005770

Adjacent sequences:  A141527 A141528 A141529 * A141531 A141532 A141533

KEYWORD

sign,less,easy

AUTHOR

Paul Curtz, Aug 12 2008

EXTENSIONS

Corrected, completed and edited, following an observation from Vincenzo Librandi, by M. F. Hasler, Feb 12 2009.

Further edited by N. J. A. Sloane, Feb 13 2009

STATUS

approved

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Last modified March 29 07:21 EDT 2017. Contains 284250 sequences.