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A137244 a(n) = lcm_{k=0..n} (k! + 1). 1
2, 2, 6, 42, 1050, 127050, 13086150, 65967282150, 2659866783570150, 13594579130827036650, 4484729304047661947505150, 179016047168539016473835519025150, 85748973198421705721932588223712809265150, 533960639770963461900374948788827304744234574385150 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

I came upon this sequence in an attempt to solve an open Erdős problem: Show that Sum_{k>=0} 1/(k!+1) is rational/irrational/transcendental.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..43

FORMULA

a(n) = lcm_{k=0..n} (k! + 1).

MATHEMATICA

With[{t=Range[0, 20]!+1}, Table[LCM@@Take[t, n], {n, Length[t]}]] (* Harvey P. Dale, Dec 21 2015 *)

PROG

(PARI) a(n) = {lc = 1; for (k=0, n, lc = lcm(lc, k!+1); ); return (lc); } \\ Michel Marcus, Jul 25 2013

CROSSREFS

Cf. A038507, A000142.

Sequence in context: A002027 A290957 A032117 * A284707 A174589 A247943

Adjacent sequences:  A137241 A137242 A137243 * A137245 A137246 A137247

KEYWORD

easy,nonn

AUTHOR

Karl Ethan Levy (klevy1(AT)gc.cuny.edu), Mar 09 2008

EXTENSIONS

More terms from Harvey P. Dale, Dec 21 2015

STATUS

approved

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Last modified February 21 11:25 EST 2019. Contains 320372 sequences. (Running on oeis4.)