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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, 1578665, 410061, 108045 (list; graph; refs; listen; history; text; internal format)
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
FORMULA
a(n) = A061602(A000108(n)). - Alois P. Heinz, Jul 09 2023
EXAMPLE
The sum of the factorials of each digit of 9694845 = 9! + 6! + 9! + 4! + 8! + 4! + 5! = 766968.
MAPLE
a:= n-> add(i!, i=convert(binomial(2*n, n)/(n+1), base, 10)):
seq(a(n), n=0..42); # Alois P. Heinz, Jul 09 2023
MATHEMATICA
f[n_] := Plus @@ (IntegerDigits@ n!); Table[f@ CatalanNumber@ n, {n, 0, 35}] (* Robert G. Wilson v, Sep 30 2009 *)
CROSSREFS
Sequence in context: A024030 A221231 A243512 * A153658 A073785 A102355
KEYWORD
nonn,base
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

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Last modified February 26 21:28 EST 2024. Contains 370352 sequences. (Running on oeis4.)