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A152761
Sum of divisors of Catalan number A000108(n).
6
1, 1, 3, 6, 24, 96, 336, 672, 3024, 9072, 35280, 120960, 483840, 1874880, 10108800, 20217600, 107827200, 398131200, 1919877120, 6051594240, 24710676480, 86487367680, 339771801600, 1141066967040, 4122564526080, 16784726999040
OFFSET
0,3
LINKS
FORMULA
a(n) = sigma(A000108(n)) = A000203(A000108(n)).
a(n) = A152762(n) + A000108(n). - R. J. Mathar, Jan 08 2009
MAPLE
with(numtheory): seq(sigma(binomial(2*n, n)/(n+1)), n = 0 .. 25); # Emeric Deutsch, Jan 10 2009
A000108 := proc(n) binomial(2*n, n)/(n+1) ; end: A000203 := proc(n) numtheory[sigma](n) ; end: A152761 := proc(n) A000203(A000108(n)) ; end: for n from 0 to 30 do printf("%d, ", A152761(n)) ; od: # R. J. Mathar, Jan 08 2009
MATHEMATICA
DivisorSigma[1, CatalanNumber[Range[0, 30]]] (* Harvey P. Dale, Apr 17 2015 *)
CROSSREFS
Sequence in context: A363016 A327643 A296215 * A295761 A262349 A109155
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Dec 14 2008
EXTENSIONS
Extended by R. J. Mathar and Emeric Deutsch, Jan 08 2009
STATUS
approved