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Search: id:A098847
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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Also equals n^2-6^2, n>5. - Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005
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FORMULA
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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)+9 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
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EXAMPLE
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For n=2, a(2)=2*2+0+9=13; n=3, a(3)=2*3+13+9=28; n=4, a(4)=2*4+28+9=45 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
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MAPLE
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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]
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MATHEMATICA
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Table[ n(n + 12), {n, 0, 50}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005)
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CROSSREFS
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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 this_sequence A161453 A038597 A026054
Adjacent sequences: A098844 A098845 A098846 this_sequence A098848 A098849 A098850
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KEYWORD
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nonn,easy
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AUTHOR
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Eugene McDonnell (eemcd(AT)mac.com), Nov 04 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005
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