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Search: id:A105527
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| A105527 |
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Index when n-nacci (tribonacci etc.) passes Fibonacci numbers. |
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+0
2
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| 3, 4, 6, 9, 11, 14, 16, 19, 22, 25, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 67, 70, 73, 76, 79, 82, 85, 88, 91, 95, 98, 101, 104, 107, 110, 113, 117, 120, 123, 126, 129, 132, 136, 139, 142, 145, 148, 151, 155, 158, 161, 164, 167, 171, 174, 177, 180, 183, 186
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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The n-nacci sequences are considered as defined in A000213, A000288, A000322, A000383 for n=3,4,5,6, repectively.
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EXAMPLE
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a(3)=3 because tribonacci(3)=3 while fibonacci(3)=2;
a(6)=9 because hexanacci(9)=41 while fibonacci(9)=34.
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PROGRAM
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(PARI) {n_bonacci(n, v)= local(x, l); l=matsize(v)[2]; x=0; for(i=l-n+1, l, x+=v[i]); return(x)} {nbg(k)= local(q=[], l, v, m); for(n=3, k, v=[]; for(i=1, n, v=concat(v, 1)); m=n; while((x=n_bonacci(n, v))<=fibonacci(m), v=concat(v, x); m+=1); q=concat(q, m)); return(q) }
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CROSSREFS
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Cf. A105528, A000045, A000213, A000288, A000322, A000383.
Adjacent sequences: A105524 A105525 A105526 this_sequence A105528 A105529 A105530
Sequence in context: A087805 A034027 A034034 this_sequence A094345 A039889 A118098
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KEYWORD
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easy,nonn
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AUTHOR
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Ferenc Adorjan (fadorjan(AT)freemail.hu), Apr 11 2005
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