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 A007447 Logarithm of e.g.f. for primes. (Formerly M0159) 10
 2, -1, 3, -12, 59, -354, 2535, -21190, 202731, -2183462, 26130441, -343956264, 4938891841, -76827253854, 1287026203647, -23100628140676, 442271719973507, -8996704216880580, 193776558133638811, -4405549734148088108, 105432710994387193283, -2649353692976978990070 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Alois P. Heinz, Table of n, a(n) for n = 1..438 FORMULA E.g.f.: log(1 + Sum_{k>=1} prime(k)*x^k/k!). - Ilya Gutkovskiy, Mar 10 2018 MAPLE a:= proc(n) option remember; (t-> `if`(n=0, 0, t(n) -add(j* binomial(n, j)*t(n-j)*a(j), j=1..n-1)/n))(i->ithprime(i)) end: seq(a(n), n=1..25); # Alois P. Heinz, Mar 06 2018 MATHEMATICA a[n_] := a[n] = Function[t, If[n==0, 0, t[n] - Sum[j Binomial[n, j] t[n-j] a[j], {j, 1, n-1}]/n]][Prime]; Array[a, 25] (* Jean-François Alcover, Oct 30 2020, after Alois P. Heinz *) CROSSREFS Cf. A000040, A007446. Sequence in context: A329025 A317548 A320327 * A153189 A362272 A095852 Adjacent sequences: A007444 A007445 A007446 * A007448 A007449 A007450 KEYWORD sign AUTHOR N. J. A. Sloane. EXTENSIONS Signs from Christian G. Bower, Nov 15 1998 STATUS approved

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Last modified June 2 18:52 EDT 2023. Contains 363100 sequences. (Running on oeis4.)