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A098603 n(n+10). +0
6
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; listen)
OFFSET

0,2

FORMULA

a(n)= (n+5)^2-5^2 = n*(n+10), n>=0.

G.f.: x*(11-9*x)/(1-x)^3.

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

CROSSREFS

Cf. A098832.

a(n-5), n>=6, fifth column (used for the Pfund series of the hydrogen atom) of triangle A120070.

Adjacent sequences: A098600 A098601 A098602 this_sequence A098604 A098605 A098606

Sequence in context: A112134 A063307 A061043 this_sequence A053061 A055820 A114167

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 11 2005

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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