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 A179280 E.g.f. equals the real part of the series F(x) = 1 + x*F(x)^i where i=sqrt(-1). 0
 1, 1, 0, -9, 48, 350, -11160, 73010, 2607360, -84724380, 274118400, 58934005900, -1878039820800, -11920073789000, 2984939450438400, -86257610003799000, -2337484592701440000, 281472063119891306000, -6445251832278924288000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA a(n) = real part of C(i*n,n)/(i*n-n+1). EXAMPLE E.g.f.: 1 + x - 9*x^3/3! + 48*x^4/4! + 350*x^5/5! - 11160*x^6/6! + ... E.g.f. equals the real part of F(x) = 1 + x*F(x)^i where F(x) = 1 + x + i*x^2 - (3 + i)*x^3/2 + (6 - 7*i)*x^4/3 + (35 + 72*i)*x^5/12 - (31 - i)*x^6/2 + (1043 - 2511*i)*x^7/72 + (4074 + 4393*i)*x^8/63 - (52299 - 17108*i)*x^9/224 + (171324 - 1458013*i)*x^10/2268 + (53576369 + 32934483*i)*x^11/36288 - (1811381 - 1198743*i)*x^12/462 + ... PROG (PARI) {a(n)=n!*real(binomial(I*n, n)/((I-1)*n+1))} CROSSREFS Cf. A179281 (imaginary part). Sequence in context: A226751 A073584 A007037 * A293095 A283092 A249780 Adjacent sequences:  A179277 A179278 A179279 * A179281 A179282 A179283 KEYWORD sign AUTHOR Paul D. Hanna, Jul 08 2010 STATUS approved

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Last modified May 21 17:17 EDT 2019. Contains 323444 sequences. (Running on oeis4.)