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A121015 Numbers n such that partition number p(n) == 14 (mod n). 3
1, 2, 8, 1402, 3579, 4111, 5289, 6383, 6467, 15146, 32141, 41910, 82849, 110088, 127531, 185114, 1320338, 1467242, 5739729, 22507473 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

No other terms below 3*10^7.

EXAMPLE

Partition number of 8 is 22 = 1*8 + 14, hence 8 is a term.

Partition number of 1402 is 52435757789401123913939450130086135644 = 37400683159344596229628709079947315*1402 + 14, hence 1402 is a term.

MATHEMATICA

Do[ If[ Mod[ PartitionsP@n - 14, n] == 0, Print@n], {n, 731000}] - Robert G. Wilson v Sep 14 2006

PROG

(PARI) for(n=1, 200000, if((numbpart(n)-14)%n==0, print1(n, ", "))) - (Klaus Brockhaus, Sep 07 2006)

CROSSREFS

Cf. A000041, A051177, A093952, A128836, A203023

Sequence in context: A084148 A014115 A014116 * A073630 A027733 A054874

Adjacent sequences:  A121012 A121013 A121014 * A121016 A121017 A121018

KEYWORD

more,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Sep 02 2006

EXTENSIONS

Edited, corrected and extended (a(1) to a(3), a(11) to a(16)) by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 07 2006

Rechecked by Klaus Brockhaus, Mar 17 2007

a(17)-a(19) from Ryan Propper (rpropper(AT)stanford.edu), Mar 17 2007

a(20) from Max Alekseyev (maxale(AT)gmail.com), Dec 28 2011

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Last modified February 15 07:42 EST 2012. Contains 205717 sequences.