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0, 11, 24, 39, 56, 75, 96, 119, 144, 171, 200, 231, 264, 299, 336, 375, 416, 459, 504, 551, 600, 651, 704, 759, 816, 875, 936, 999, 1064, 1131, 1200, 1271, 1344, 1419, 1496, 1575, 1656, 1739, 1824, 1911, 2000, 2091, 2184, 2279, 2376, 2475, 2576, 2679, 2784
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)= (n+5)^2-5^2 = n*(n+10), n>=0.
G.f.: x*(11-9*x)/(1-x)^3.
a(n)=2*n+a(n-1)+9 (with a(0)=0) [From Vincenzo Librandi, Nov 17 2010]
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MAPLE
| seq(n*(n+10), n=0..53); (Deutsch)
a:=n->sum((binomial(2, 3*j)+n), j=11..n): seq(a(n), n=10..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 03 2007
a:=n->sum(n, j=11..n): seq(a(n), n=10..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 12 2007
with(finance):seq(add(cashflows([k, k, 9], 0), k=1..n), n=0..49); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 16 2008
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MATHEMATICA
| s=0; lst={s}; Do[s+=n++ +11; AppendTo[lst, s], {n, 0, 6!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 17 2008]
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CROSSREFS
| Cf. A098832.
a(n-5), n>=6, fifth column (used for the Pfund series of the hydrogen atom) of triangle A120070.
Sequence in context: A063307 A157756 A061043 * A053061 A055820 A114167
Adjacent sequences: A098600 A098601 A098602 * A098604 A098605 A098606
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KEYWORD
| nonn,easy
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AUTHOR
| Eugene McDonnell (eemcd(AT)mac.com), Nov 04 2004
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 11 2005
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