

A165163


Sequence is obtained from Catalan numbers (A000108) by taking the factorial of each digit and adding them up.


0



1, 1, 2, 120, 25, 26, 9, 362906, 32, 41066, 369361, 86520, 40327, 367948, 5835, 766968, 11053, 731572, 56192, 374411, 1615, 7256, 404818, 364605, 771205, 404861, 51385, 727600, 379721, 42643, 807308, 1091011, 495081, 807, 777014, 772751
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OFFSET

0,3


COMMENTS

The primes in this sequence are 2, 369361, 379721, 42643, 1008859, 1505873, 2388293, 3289723, .... [Extended by Robert G. Wilson v, Sep 30 2009]


LINKS

Table of n, a(n) for n=0..35.
Dario Alpern, Factorization using the Elliptic Curve Method


EXAMPLE

The sum of the factorials of each digit of 9694845 = 9! + 6! + 9! + 4! + 8! + 4! + 5! = 766968.


MATHEMATICA

f[n_] := Plus @@ (IntegerDigits@ n!); Table[f@ CatalanNumber@ n, {n, 0, 35}] (* Robert G. Wilson v, Sep 30 2009 *)


CROSSREFS

Cf. A000108.
Sequence in context: A024030 A221231 A243512 * A153658 A073785 A102355
Adjacent sequences: A165160 A165161 A165162 * A165164 A165165 A165166


KEYWORD

base,nonn


AUTHOR

Parthasarathy Nambi, Sep 06 2009


EXTENSIONS

a(16) onwards added and offset changed from 1 to 0 by Robert G. Wilson v, Sep 30 2009


STATUS

approved



