A080870 a(n+1) is smallest number with a(n+1)^n > (a(n)+1)^(n+1), with a(1)=1.

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

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: A306159 A113861 A337207 * A288414 A102620 A211380

Adjacent sequences: A080867 A080868 A080869 * A080871 A080872 A080873

Keyword

nonn

Author

Paul D. Hanna, Feb 21 2003

Status

approved