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A081570
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Fifth binomial transform of F(n+1).
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5
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1, 6, 37, 233, 1490, 9633, 62753, 410926, 2700349, 17786985, 117346714, 774991289, 5121849473, 33865596822, 223987930325, 1481764925737, 9803764203682, 64870223394129, 429263295428641, 2840659771285310, 18798621916707821
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Binomial transform of A081569 Case k=5 of family of recurrences a(n)=(2k+1)a(n-1)-A028387(k-1)a(n-2),a(0)=1,a(1)=k+1.
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FORMULA
| a(n)=11a(n-1)-29a(n-2), a(0)=1, a(1)=6. a(n)=(1/2 - sqrt(5)/10)(11/2 - sqrt(5)/2)^n + (sqrt(5)/10 + 1/2)*(sqrt(5)/2 + 11/2)^n . G.f.: (1-5x)/(1-11x+29x^2).
a(n)= Sum_{k, 0<=k<=n} A094441(n,k)*5^k. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 14 2009]
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CROSSREFS
| Cf. A000045.
Sequence in context: A192807 A076026 A161734 * A122898 A081912 A081188
Adjacent sequences: A081567 A081568 A081569 * A081571 A081572 A081573
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 22 2003
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