login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A002405 Coefficients for step-by-step integration.
(Formerly M3145 N1274)
1
1, 1, 1, 3, 38, 135, 4315, 48125, 950684, 7217406, 682590930, 6554931075, 903921420138, 10496162430897, 132415122967127, 3606726811032345, 896549281211592008, 14008671728814262500, 4425739007479443851340 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

All the terms except the first term are actually negative. - Sean A. Irvine, Nov 10 2013

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..18.

W. F. Pickard, Tables for the step-by-step integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229-233.

W. F. Pickard, Tables for the step-by-step integration of ordinary differential equations of the first order, J. ACM 11 (1964), 229-233. [Annotated scanned copy]

FORMULA

a(n) = abs(lcm{1,2,...,n+1} * sum_{k=0..n}((-1)^(n-k)/n+1-k)*s(-(n-1),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: A093939 A129122 A345688 * A050394 A281798 A156071

Adjacent sequences:  A002402 A002403 A002404 * A002406 A002407 A002408

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Nov 10 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)