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A098924
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45-gonal numbers: n(43*n-41)/2.
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3
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1, 45, 132, 262, 435, 651, 910, 1212, 1557, 1945, 2376, 2850, 3367, 3927, 4530, 5176, 5865, 6597, 7372, 8190, 9051, 9955, 10902, 11892, 12925, 14001, 15120, 16282, 17487, 18735, 20026, 21360, 22737, 24157, 25620, 27126, 28675, 30267
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Similar to 21-gonal and 15-gonal numbers.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| a(n)=n(43*n-41)/2.
G.f.: x*(1+42*x)/(1-x)^3. - Bruno Berselli, Feb 04 2011
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MATHEMATICA
| Table[n(43n - 41)/2, {n, 1, 40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 15 2006
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CROSSREFS
| Cf. n-gonal numbers A000217, A000290, A000326, A000566, A000567, A001106, A001107, A051682, A051624, A051865-A051876, A098923, A098140, A098230.
Sequence in context: A044296 A044677 A206209 * A195318 A131011 A156370
Adjacent sequences: A098921 A098922 A098923 * A098925 A098926 A098927
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KEYWORD
| nonn,easy
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AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Oct 18 2004
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EXTENSIONS
| More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 15 2006
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