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A098847 n(n+12). 16
0, 13, 28, 45, 64, 85, 108, 133, 160, 189, 220, 253, 288, 325, 364, 405, 448, 493, 540, 589, 640, 693, 748, 805, 864, 925, 988, 1053, 1120, 1189, 1260, 1333, 1408, 1485, 1564, 1645, 1728, 1813, 1900, 1989, 2080, 2173, 2268, 2365, 2464, 2565, 2668, 2773 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Also equals n^2-6^2, n>5. - Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005

FORMULA

a(n)= (n+6)^2-6^2 = n*(n+12), n>=0.

G.f.: x*(13-11*x)/(1-x)^3.

a(n)=2*n+a(n-1)+11 (with a(0)=0) [From Vincenzo Librandi, Nov 17 2010]

MAPLE

a:=n->sum((binomial(2, 3*j)+n), j=13..n): seq(a(n), n=12..59); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 01 2006

with(finance):seq(add(cashflows([k, k, 11], 0 ), k=1..n), n=0..45); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 22 2008]

MATHEMATICA

Table[ n(n + 12), {n, 0, 50}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005)

CROSSREFS

Cf. A098832.

a(n-6), n>=7, sixth column (used for the n=6 series of the hydrogen atom) of triangle A120070.

Cf. A063930.

Sequence in context: A046044 A026919 A063309 * A161453 A038597 A026054

Adjacent sequences:  A098844 A098845 A098846 * A098848 A098849 A098850

KEYWORD

nonn,easy

AUTHOR

Eugene McDonnell (eemcd(AT)mac.com), Nov 04 2004

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005

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Last modified February 14 03:03 EST 2012. Contains 205567 sequences.