An Abridged Example of A Typical OEIS Entry
This entry, A046970, was chosen because it contains every field an OEIS entry can have.
A046970 Generated from Riemann Zeta function: coefficients in series expansion of Zeta(n+2)/Zeta(n). 1, -3, -8, -3, -24, 24, -48, -3, -8, 72, -120, 24, -168, 144, 192, -3, -288, 24, -360, 72, 384, 360, -528, 24, -24, 504, -8, 144, -840, -576, -960, -3, 960, 864, 1152, 24, -1368, 1080, 1344, 72, -1680, -1152, -1848, 360, 192, 1584, -2208, 24, -48, 72, 2304, 504, -2808, 24, 2880, 144, 2880, 2520, -3480, -576 OFFSET 1,2 COMMENTS B(n+2) = -B(n)*((n+2)*(n+1)/(4pi^2))*z(n+2)/z(n) = -B(n)*((n+2)*(n+1)/(4pi^2))*Sum(j=1, infinity) ... REFERENCES M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Dover Publications, 1965, pp. 805-811. LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 . Wikipedia, Riemann zeta function. FORMULA Multiplicative with a(p^e) = 1-p^2. a(n) = Sum_{d|n} mu(d)*d^2. a(n) = product (gives unsigned version) EXAMPLE a(3) = -8 because the divisors of 3 are {1, 3} and mu(1)*1^2 + mu(3)*3^2 = -8. ... MAPLE Jinvk := proc(n, k) local a, f, p ; a := 1 ; for f in ifactors(n) do p := op(1, f) ; a := a*(1-p^k) ; end do: a ; end proc: A046970 := proc(n) Jinvk(n, 2) ; end proc: # R. J. Mathar, Jul 04 2011 MATHEMATICA muDD := MoebiusMu*d^2; Table], {n, 60}] (Lopez) Flatten; p = 1; For, i++, p = p*(x]]^2 - 1)]; p}, {n, 1, 50, 1}]] PROG (PARI) A046970(n)=sumdiv(n, d, d^2*moebius(d)) (Benoit Cloitre) CROSSREFS Cf. A027641 and A027642. Sequence in context: A035292 A144457 A146975 * A058936 A002017 A118582 Adjacent sequences: A046967 A046968 A046969 * A046971 A046972 A046973 KEYWORD sign,mult AUTHOR Douglas Stoll, dougstoll(AT)email.msn.com EXTENSIONS Corrected and extended by Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 25 2001 Additional comments from Wilfredo Lopez (chakotay147138274(AT)yahoo.com), Jul 01 2005Read more about this topic: On-Line Encyclopedia Of Integer Sequences
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