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A002739 a(n) =  ((2*n-1)! /(2*n!*(n-2)!))*((n^3-3*n^2+2*n+2)/(n^2-1)).
(Formerly M4732 N2024)
1
1, 10, 91, 651, 4026, 22737, 120835, 615043, 3031678, 14578928, 68747966, 319075550, 1461581460, 6621579135, 29718121635, 132302508195, 584868588150, 2569600678260, 11227927978410, 48822435838410, 211370463290220, 911509393468050, 3916793943349326, 16776146058210126, 71641860657928876 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

The former name was "Coefficients for extrapolation".

REFERENCES

J. Ser, Les Calculs Formels des Séries de Factorielles. Gauthier-Villars, Paris, 1933, p. 93.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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=2..26.

J. Ser, Les Calculs Formels des Séries de Factorielles (Annotated scans of some selected pages)

FORMULA

a(n) ~ 2^(2*n-5)*(8*n-33)*sqrt(n/Pi). - Peter Luschny, Jan 18 2020

MAPLE

t4 := n-> ((2*n-1)! /(2*n!*(n-2)!))*((n^3-3*n^2+2*n+2)/(n^2-1));

[seq(t4(n), n=2..40)];

CROSSREFS

A diagonal of A331432.

Sequence in context: A119047 A143572 A244203 * A079928 A231412 A002452

Adjacent sequences:  A002736 A002737 A002738 * A002740 A002741 A002742

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

EXTENSIONS

Entry revised by N. J. A. Sloane, Jan 18 2020

STATUS

approved

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Last modified August 13 19:30 EDT 2020. Contains 336451 sequences. (Running on oeis4.)