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Search: id:A098848
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| 0, 15, 32, 51, 72, 95, 120, 147, 176, 207, 240, 275, 312, 351, 392, 435, 480, 527, 576, 627, 680, 735, 792, 851, 912, 975, 1040, 1107, 1176, 1247, 1320, 1395, 1472, 1551, 1632, 1715, 1800, 1887, 1976, 2067, 2160, 2255, 2352, 2451, 2552, 2655, 2760, 2867
(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^2-7^2, n>6. - Robert G. Wilson v (rgwv(at)rgwv.com), Jul 14 2005
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FORMULA
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a(n)= (n+7)^2-7^2 = n*(n+14), n>=0.
G.f.: x*(15-13*x)/(1-x)^3.
2*n+a(n-1)+11 (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+11=15; n=3, a(3)=2*3+15+11=32; n=4, a(4)=2*4+32+11=51 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 08 2009]
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MAPLE
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with(finance):seq(add(cashflows([k, k, 13], 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 + 14), {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-7), n>=8, seventh column (used for the n=7 series of the hydrogen atom) of triangle A120070.
Sequence in context: A157767 A146889 A061047 this_sequence A055809 A007256 A112147
Adjacent sequences: A098845 A098846 A098847 this_sequence A098849 A098850 A098851
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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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