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A093968
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Inverse binomial transform of n*Pell(n).
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3
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0, 1, 2, 6, 8, 20, 24, 56, 64, 144, 160, 352, 384, 832, 896, 1920, 2048, 4352, 4608, 9728, 10240, 21504, 22528, 47104, 49152, 102400, 106496, 221184, 229376, 475136, 491520, 1015808, 1048576, 2162688, 2228224, 4587520, 4718592, 9699328, 9961472
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Binomial transform is A093967. Binomial transform of (-1)^(n+1)(n*Pell(n-2)) (see A093969).
S-D transform of A001477 (cf. A051159). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 01 2006
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,4,0,-4).
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FORMULA
| G.f.: x(1+2x+2x^2)/(1-2x^2)^2; a(n)=2^((n-4)/2)n((1+sqrt(2))+(1-sqrt(2))(-1)^n).
a(2n) = A036289(n). a(2n+1) = A014480(n). - R. J. Mathar, Jun 02 2011
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MAPLE
| seq(sum(mul(gcd(j+2, j), j=0..n), k=0..n)/2, n=-1..37); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 01 2007
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CROSSREFS
| Cf. A000129, A132314.
Sequence in context: A002618 A069553 A143481 * A064713 A162213 A100358
Adjacent sequences: A093965 A093966 A093967 * A093969 A093970 A093971
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 21 2004
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