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A224824 Smallest m such that Fibonacci(m) >= m^n. 0
5, 12, 21, 30, 41, 51, 62, 73, 85, 97, 109, 122, 134, 147, 160, 174, 187, 200, 214, 228, 242, 256, 270, 284, 298, 312, 327, 342, 356, 371, 386, 401, 416, 431, 446, 461, 476, 491, 507, 522, 538, 553, 569, 585, 600, 616, 632, 648, 664, 680 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..50.

MATHEMATICA

Flatten[{5, Table[Ceiling[(n*LambertW[-1, -Log[GoldenRatio]/(n*5^(1/(2*n)))])/-Log[GoldenRatio]], {n, 2, 50}]}] (* Vaclav Kotesovec, Jul 24 2013 *)

PROG

(PARI) a(n) = {ok = 0; m = 2; until (ok, if (fibonacci(m) >= m^n, ok = 1, m++); ); return (i); } \\ Michel Marcus, Jul 21 2013

CROSSREFS

Cf. A002708, A132634, A132636.

Cf. A065220, A014283.

Sequence in context: A270214 A063559 A259913 * A121291 A272012 A272451

Adjacent sequences:  A224821 A224822 A224823 * A224825 A224826 A224827

KEYWORD

nonn

AUTHOR

Michel Marcus, Jul 21 2013

STATUS

approved

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Last modified May 19 16:42 EDT 2019. Contains 323395 sequences. (Running on oeis4.)