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 A260756 G.f.: exp( Sum_{n>=1} 2^(n^n) * x^n/n ). 0
 1, 2, 10, 44739260, 28948022309329048855892746252171976963317496166410141009864396001978371888518 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Does the g.f. describe an integer sequence? The number of digits in the terms begin: [1, 1, 2, 8, 77, 941, 14045, 247911, ...]. LINKS Table of n, a(n) for n=0..4. EXAMPLE G.f.: A(x) = 1 + 2*x + 10*x^2 + 44739260*x^3 +... where log(A(x)) = 2^1*x + 2^4*x^2/2 + 2^27*x^3/3 + 2^256*x^4/4 + 2^3125*x^5/5 + 2^46656*x^6/6 + 2^823543*x^7/7 + 2^16777216*x^8/8 +...+ 2^(n^n)*x^n/n +... PROG (PARI) {a(n)=polcoeff(exp(sum(m=1, n+1, 2^(m^m)*x^m/m)+x*O(x^n)), n)} for(n=0, 7, print1(a(n), ", ")) CROSSREFS Cf. A155200, A158110. Sequence in context: A057095 A119189 A309862 * A252707 A288848 A374945 Adjacent sequences: A260753 A260754 A260755 * A260757 A260758 A260759 KEYWORD nonn AUTHOR Paul D. Hanna, Jul 30 2015 STATUS approved

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Last modified September 16 23:59 EDT 2024. Contains 375984 sequences. (Running on oeis4.)