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A097397 Coefficients in asymptotic expansion of normal probability function. 1
1, 1, 1, 5, 9, 129, 57, 9141, -36879, 1430049, -15439407, 418019205, -7404957255, 196896257505, -4656470025015, 134136890777205, -3845524501226655, 123250625100419265, -4085349586734306015, 145973136800663973765 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

a(0)+a(1)*x/(1-2*x)+a(2)*x^2/(1-2*x)/(1-4*x)+... = 1+x+3*x^2+15*x^3+...

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 932.

LINKS

Table of n, a(n) for n=0..19.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

PROG

(PARI) a(n)=sum(k=0, n, 2^(n-2*k)*(2*k)!/k!* polcoeff(prod(i=0, n-1, x-i), k))

CROSSREFS

Sequence in context: A280642 A222583 A222374 * A092584 A145400 A002657

Adjacent sequences:  A097394 A097395 A097396 * A097398 A097399 A097400

KEYWORD

sign

AUTHOR

Michael Somos, Aug 13 2004

STATUS

approved

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Last modified January 17 10:30 EST 2019. Contains 319218 sequences. (Running on oeis4.)