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A186030 a(n) = n*(13*n-3)/2. 8
0, 5, 23, 54, 98, 155, 225, 308, 404, 513, 635, 770, 918, 1079, 1253, 1440, 1640, 1853, 2079, 2318, 2570, 2835, 3113, 3404, 3708, 4025, 4355, 4698, 5054, 5423, 5805, 6200, 6608, 7029, 7463, 7910, 8370, 8843, 9329, 9828, 10340, 10865, 11403 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

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

FORMULA

G.f.: x*(5+8*x)/(1-x)^3.

a(n)-a(-n) = -A008585(n); a(n)+a(-n) = A152742(n). - Bruno Berselli, Sep 05 2011

MATHEMATICA

Table[n (13n-3)/2, {n, 0, 60}]  (* Harvey P. Dale, Feb 24 2011 *)

PROG

(MAGMA) [ n*(13*n-3)/2 : n in [0..42] ];

(PARI) a(n)=n*(13*n-3)/2 \\ Charles R Greathouse IV, Oct 07 2015

CROSSREFS

Cf. numbers of the form n*(d*n+10-d)/2 indexed in A140090.

Cf. A154609 (first differences).

Sequence in context: A155851 A019267 A053664 * A092544 A098499 A075565

Adjacent sequences:  A186027 A186028 A186029 * A186031 A186032 A186033

KEYWORD

nonn,easy

AUTHOR

Bruno Berselli, Feb 11 2011

STATUS

approved

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Last modified May 26 09:06 EDT 2017. Contains 287093 sequences.