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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
OFFSET
1,2
COMMENTS
Also a(n+1) = floor( (a(n)+1)^(1+1/n) ) + 1; compare A080869.
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
Sequence in context: A306159 A113861 A337207 * A288414 A102620 A211380
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 21 2003
STATUS
approved