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Search: id:A081570
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| A081570 |
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Fifth binomial transform of F(n+1). |
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+0
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
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OFFSET
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0,2
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COMMENT
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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
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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).
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CROSSREFS
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Cf. A000045.
Sequence in context: A005668 A018904 A076026 this_sequence A122898 A081912 A081188
Adjacent sequences: A081567 A081568 A081569 this_sequence A081571 A081572 A081573
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 22 2003
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