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A147296 n*(9*n+2). 4
0, 11, 40, 87, 152, 235, 336, 455, 592, 747, 920, 1111, 1320, 1547, 1792, 2055, 2336, 2635, 2952, 3287, 3640, 4011, 4400, 4807, 5232, 5675, 6136, 6615, 7112, 7627, 8160, 8711, 9280, 9867, 10472, 11095, 11736, 12395, 13072, 13767, 14480, 15211, 15960 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..42.

Reply to V. Librandi, A147296 (SeqFan list) - M. F. Hasler, Mar 01 2009

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

FORMULA

a(n) = n*(9*n + 2), as conjectured by V. Librandi. - From M. F. Hasler, Mar 01 2009

G.f.: x*(11+7*x)/(1-x)^3. - Jaume Oliver Lafont, Aug 30 2009

a(n) = floor((3*n + 1/3)^2). - Reinhard Zumkeller, Apr 14 2010

MATHEMATICA

Table[n(9n+2), {n, 0, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {0, 11, 40}, 50] (* Harvey P. Dale, Dec 19 2014 *)

PROG

(PARI) A147296(n) = n*(9*n + 2) - M. F. Hasler, Mar 01 2009

CROSSREFS

Equals first 9-fold decimation of A144454.

Cf. A010701, A017173, A185019.

Sequence in context: A077568 A122014 A031427 * A059142 A064798 A056124

Adjacent sequences:  A147293 A147294 A147295 * A147297 A147298 A147299

KEYWORD

nonn,easy

AUTHOR

Paul Curtz, Nov 05 2008

EXTENSIONS

More terms from M. F. Hasler, Mar 01 2009

STATUS

approved

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Last modified August 20 13:04 EDT 2017. Contains 290835 sequences.