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Search: id:A045618
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| 1, 6, 23, 72, 201, 522, 1291, 3084, 7181, 16398, 36879, 81936, 180241, 393234, 851987, 1835028, 3932181, 8388630, 17825815, 37748760, 79691801, 167772186, 352321563, 738197532, 1543503901, 3221225502, 6710886431, 13958643744
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OFFSET
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0,2
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COMMENT
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Convolution of A000225(n+1), n >= 0, (partial sums of powers of 2).
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FORMULA
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a(n) = n+5+(n-1)*2^(n+2); G.f.: 1/((1-2*x)*(1-x))^2.
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MATHEMATICA
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Table[Sum[(-1)^(n - k) k (-1)^(n - k) Binomial[n + 2, k + 2], {k, 0, n}], {n, 1, 28}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2009]
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CROSSREFS
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Sequence in context: A009017 A119712 A005745 this_sequence A038737 A038797 A136530
Adjacent sequences: A045615 A045616 A045617 this_sequence A045619 A045620 A045621
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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