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A081187
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5th binomial transform of (1,0,1,0,1,......), A059841.
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4
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1, 5, 26, 140, 776, 4400, 25376, 148160, 872576, 5169920, 30757376, 183495680, 1096779776, 6563901440, 39316299776, 235629363200, 1412702437376, 8471919656960, 50814338072576, 304817308958720, 1828628975845376
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A081187.
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FORMULA
| a(n)=10a(n-1)-24a(n-2), a(0)=1, a(1)=5. G.f.: (1-5x)/((1-4x)(1-6x)). E.g.f. exp(5x)cosh(x). a(n)=4^n/2+6^n/2.
Sum{k=0..floor(n/2); C(n, 2k)5^(n-2k) }
E.g.f.: exp(5x)*cosh(x)=1/2*E(0); E(k)=1+(2^k)/(3^k-6*x*(9^k)/(6*x*(3^k)+(k+1)*(2^k)/E(k+1))) ; (continued fraction). - Sergei N. Gladkovskii, Nov 21 2011
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CROSSREFS
| Cf. A081189.
Sequence in context: A081569 A005573 A081911 * A104498 A045379 A053487
Adjacent sequences: A081184 A081185 A081186 * A081188 A081189 A081190
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 11 2003
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