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Search: id:A131941
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| 0, 1, 3, 8, 16, 29, 47, 72, 104, 145, 195, 256, 328, 413
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Starting with offset 1 = (1, 3, 5, 7,...) convolved with (1, 0, 3, 0, 5,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Feb 16 2009]
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FORMULA
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Binomial transform of [0, 1, 1, 2, -2, 4, -8, 16, -32,...]
For even n a(n)=n(2n^2 +3n +4)/12. For odd n a(n)=(n+1)(2n^2 +n +3)/12. [From Washington Bomfim (webonfim(AT)bol.com.br), Jul 31 2008]
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EXAMPLE
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a(3) = 8 = (0 + 1 + 2 + 5).
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PROGRAM
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(PARI) a(n) = (n+[0, 1][n%2+1]) * (2*n^2 +[3, 1][n%2+1]*n +[4, 3][n%2+1])/12 [From Washington Bomfim (webonfim(AT)bol.com.br), Jul 31 2008]
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CROSSREFS
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Cf. A000982.
Sequence in context: A122796 A104249 A025202 this_sequence A009858 A009439 A000233
Adjacent sequences: A131938 A131939 A131940 this_sequence A131942 A131943 A131944
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 25 2007
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