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A188475 a(n) = (2*n^3 + 3*n^2 + n + 3)/3. 3
1, 3, 11, 29, 61, 111, 183, 281, 409, 571, 771, 1013, 1301, 1639, 2031, 2481, 2993, 3571, 4219, 4941, 5741, 6623, 7591, 8649, 9801, 11051, 12403, 13861, 15429, 17111, 18911, 20833, 22881, 25059, 27371, 29821, 32413, 35151, 38039, 41081, 44281, 47643 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Hankel transform of A137398(n+1) (conjecture).

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

G.f.: (1 - x + 5*x^2 - x^3)/(1-x)^4.

a(n) = A006331(n) + 1. - Bruno Berselli, Nov 14 2011

MAPLE

A188475:=n->(2*n^3+3*n^2+n+3)/3; seq(A188475(n), n=0..100); # Wesley Ivan Hurt, Nov 11 2013

MATHEMATICA

LinearRecurrence[{4, -6, 4, -1}, {1, 3, 11, 29}, 100] (* Vincenzo Librandi, Nov 25 2011 *)

PROG

(MAGMA) [(2*n^3+3*n^2+n+3)/3: n in [0..50]]; // Vincenzo Librandi, Nov 25 2011

CROSSREFS

Sequence in context: A053845 A172102 A242807 * A072610 A110954 A000251

Adjacent sequences:  A188472 A188473 A188474 * A188476 A188477 A188478

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Apr 01 2011

STATUS

approved

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Last modified May 31 02:51 EDT 2020. Contains 334747 sequences. (Running on oeis4.)