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A085473 C(2n+3,3)-C(2n,3). +0
4
1, 10, 31, 64, 109, 166, 235, 316, 409, 514, 631, 760, 901, 1054, 1219, 1396, 1585, 1786, 1999, 2224, 2461, 2710, 2971, 3244, 3529, 3826, 4135, 4456, 4789, 5134, 5491, 5860, 6241, 6634, 7039, 7456, 7885, 8326, 8779, 9244, 9721, 10210, 10711, 11224 (list; graph; listen)
OFFSET

0,2

COMMENT

T(n,3) of A085475.

FORMULA

G.f.: (1+7x+4x^2)/(1-x)^3; a(n)=6n^2+3n+1.

a(n)=12*n+a(n-1)-15 (with a(1)=1) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 15 2009]

EXAMPLE

For n=2, a(2)=12*2+1-15=10; n=3, a(3)=12*3+10-15=31; n=4, a(4)=12*4+31-15=64 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 15 2009]

CROSSREFS

Cf. A016813, A085474.

Sequence in context: A064012 A063154 A100500 this_sequence A051943 A059306 A163655

Adjacent sequences: A085470 A085471 A085472 this_sequence A085474 A085475 A085476

KEYWORD

easy,nonn,new

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jul 01 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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