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 A007311 Reversion of o.g.f. for Bell numbers (A000110) omitting a(0)=1. (Formerly M0676) 2
 1, -2, 3, -5, 7, -14, 11, -66, -127, -992, -5029, -30899, -193321, -1285300, -8942561, -65113125, -494605857, -3911658640, -32145949441, -274036507173, -2419502677445, -22093077575496, -208364964369913, -2027216779571754, -20323053380033763, -209715614081160850 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS As the definition says, this entry deliberately omits the zero-th term 1. - N. J. A. Sloane, Jun 16 2021 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Table of n, a(n) for n=1..26. Index entries for reversions of series FORMULA G.f. A(x) satisfies: A(x) = x - Sum_{k>=2} Bell(k) * A(x)^k. - Ilya Gutkovskiy, Apr 22 2020 MAPLE read transforms; A := series(exp(exp(x)-1), x, 60); SERIESTOLISTMULT(%); subsop(1=NULL, %); REVERT(%); # Alternative, using function CompInv from A357588: CompInv(26, n -> combinat:-bell(n)); # Peter Luschny, Oct 05 2022 PROG (PARI) a(n)=if(n<1, 0, polcoeff(serreverse(-1+serlaplace(exp(exp(x+x*O(x^n))-1))), n)) CROSSREFS Cf. A000110. Sequence in context: A309249 A294727 A348352 * A031345 A206702 A279953 Adjacent sequences: A007308 A007309 A007310 * A007312 A007313 A007314 KEYWORD sign AUTHOR N. J. A. Sloane, Mira Bernstein EXTENSIONS Signs corrected Dec 24 2001 STATUS approved

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Last modified May 29 11:46 EDT 2023. Contains 363042 sequences. (Running on oeis4.)