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Search: id:A069125
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| A069125 |
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Centered 11-gonal numbers. |
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+0
6
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| 1, 12, 34, 67, 111, 166, 232, 309, 397, 496, 606, 727, 859, 1002, 1156, 1321, 1497, 1684, 1882, 2091, 2311, 2542, 2784, 3037, 3301, 3576, 3862, 4159, 4467, 4786
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..1000
X. Acloque, Polynexus Numbers and other mathematical wonders.
E. Weisstein, Centered Polygonal Numbers
Index entries for sequences related to centered polygonal numbers
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FORMULA
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a(n) = (11n^2 - 11n + 2)/2.
a(n) = 1+ (sum(11*n)) - Xavier Acloque Oct 22 2003
Binomial transform of [1, 11, 11, 0, 0, 0,...]; Narayana transform (A001263) of [1, 11, 0, 0, 0,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2007
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EXAMPLE
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a(5)=111 because 111 = (11*5^2 - 11*5 + 2)/2 = (275 - 55 + 2)/2 = 222/2.
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CROSSREFS
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Cf. A005448, A001844, A005891, A003215, A069099.
Cf. A001263.
Adjacent sequences: A069122 A069123 A069124 this_sequence A069126 A069127 A069128
Sequence in context: A098080 A068517 A113748 this_sequence A139635 A124705 A126366
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Terrel Trotter, Jr. (ttrotter(AT)telesal.net), Apr 07 2002
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