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1, 8, 38, 140, 443, 1268, 3384, 8584, 20965, 49744, 115402, 262996, 590831, 1311900, 2884956, 6293040, 13633305, 29362200, 62916910, 134220380, 285215651, 603983108, 1275072128, 2684358680, 5637149133, 11811165088
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Convolution of A000295(n+2), n >= 0.
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FORMULA
| a(n) = (n-3)*2^(n+4)+binomial(n+3, 3)+4*(binomial(n+1, 2)+4*n+12); G.f.: 1/((1-2*x)*(1-x)^2)^2.
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MATHEMATICA
| Table[Sum[(-1)^(n - k) k (-1)^(n - k) Binomial[n + 4, k + 4], {k, 0, n}], {n, 1, 26}] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 08 2009]
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CROSSREFS
| Cf. A045889, A000295.
Sequence in context: A163832 A139798 A065762 * A038732 A038799 A156934
Adjacent sequences: A034006 A034007 A034008 * A034010 A034011 A034012
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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