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Search: id:A080861
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| A080861 |
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Generalized polygonal numbers. |
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+0
2
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| 1, 22, 73, 154, 265, 406, 577, 778, 1009, 1270, 1561, 1882, 2233, 2614, 3025, 3466, 3937, 4438, 4969, 5530, 6121, 6742, 7393, 8074, 8785, 9526, 10297, 11098, 11929, 12790, 13681, 14602, 15553, 16534, 17545, 18586, 19657, 20758, 21889, 23050
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OFFSET
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0,2
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COMMENT
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Column T(n,6) of A080853.
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FORMULA
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a(n) = C(6, 0)+C(6, 1)n+C(6, 2)n^2 = 15n^2+6n+1 (C(5, 0)+(C(7, 2)-2)*x+C(5, 2)*x^2)/(1-x)^3 = (1+19x+10x^2)/(1-x)^3
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CROSSREFS
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Sequence in context: A114636 A044160 A044541 this_sequence A003908 A075252 A094844
Adjacent sequences: A080858 A080859 A080860 this_sequence A080862 A080863 A080864
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 23 2003
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