

A002401


Coefficients for stepbystep integration.
(Formerly M3947 N1626)


2



1, 1, 5, 27, 502, 2375, 95435, 1287965, 29960476, 262426878, 28184365650, 303473091075, 46437880787562, 593196287807409, 8172332906336599, 241563260379065625, 64808657541894257992, 1087738506483388123364
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OFFSET

0,3


REFERENCES

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=0..17.
W. F. Pickard, Tables for the stepbystep integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229233.
W. F. Pickard, Tables for the stepbystep integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229233. [Annotated scanned copy]


FORMULA

a(n) = lcm{1,2,...,n+1} * sum_{k=0..n}(1/n+1k)*s((n1),k,n) where s(l,m,n) are the generalized Stirling numbers of the first kind.  Sean A. Irvine, Nov 10 2013


CROSSREFS

A diagonal of A260781.
Sequence in context: A265907 A135627 A244655 * A034946 A321072 A119941
Adjacent sequences: A002398 A002399 A002400 * A002402 A002403 A002404


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


EXTENSIONS

More terms from Sean A. Irvine, Nov 10 2013


STATUS

approved



