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A080870 a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1. 2
1, 5, 15, 41, 107, 276, 708, 1811, 4629, 11827, 30214, 77182, 197159, 503632, 1286495, 3286264, 8394533, 21443246, 54775263, 139919550, 357414628, 912990471, 2332169791, 5957363305, 15217664544, 38872451165, 99296935817 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.

LINKS

Table of n, a(n) for n=1..27.

FORMULA

a(n) = floor(x^n)-1, where x=2.554429495392724...

EXAMPLE

Given a(4)=41, then a(5)=107 because 107^4 > (41+1)^5.

CROSSREFS

Cf. A059923, A080869.

Sequence in context: A038066 A306159 A113861 * A288414 A102620 A211380

Adjacent sequences:  A080867 A080868 A080869 * A080871 A080872 A080873

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 21 2003

STATUS

approved

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Last modified December 14 19:27 EST 2019. Contains 329987 sequences. (Running on oeis4.)