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A002397 a(n) = n! * lcm({1, 2, .. n + 1}).
(Formerly M2036 N0807)
12
1, 2, 12, 72, 1440, 7200, 302400, 4233600, 101606400, 914457600, 100590336000, 1106493696000, 172613016576000, 2243969215488000, 31415569016832000, 942467070504960000, 256351043177349120000, 4357967734014935040000, 1490424965033107783680000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This term appears in the numerator of several sequences of coefficients used in numerical solutions of ordinary differential equations.

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

Jack W Grahl, Table of n, a(n) for n = 0..100

Jack W Grahl, Explanation of the use of this sequence

Jack W Grahl, Python code to calculate this and related sequences

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) = n! * lcm{1,2,...,n+1} = n!*A003418(n+1). - Sean A. Irvine, Nov 07 2013

EXAMPLE

5! is 120, and the least common multiple of 2, 3, 4, 5 and 6 is 60, so a(5) = 7200.

CROSSREFS

Cf. A010796. Row sums of A260780, also of A260781.

The following sequences are taken from page 231 of Pickard (1964): A002397, A002398, A002399, A002400, A002401, A002402, A002403, A002404, A002405, A002406, A260780, A260781.

Sequence in context: A002867 A235359 A130426 * A163085 A328946 A037515

Adjacent sequences:  A002394 A002395 A002396 * A002398 A002399 A002400

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, Nov 07 2013

More terms from Jack W Grahl, Feb 27 2021

STATUS

approved

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Last modified December 8 02:32 EST 2021. Contains 349590 sequences. (Running on oeis4.)