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A006543
Maximal iterated binomial coefficients.
(Formerly M0512)
3
1, 2, 3, 4, 5, 6, 10, 15, 45, 120, 990, 14190, 489555, 161226780, 476106503180, 19554673086218985, 698490144518203427450060, 17987097565293886931115539020016860, 1246236391932004987381133823926620650891666994820
OFFSET
1,2
REFERENCES
C. L. Mallows, Letter to N. J. A. Sloane, 1980.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Solomon W. Golomb, Iterated binomial coefficients, Amer. Math. Monthly, 87 (1980), 719-727.
FORMULA
a(n) = max{(a_1; a_2; ...; a_k)} where a_1,a_2,...,a_k runs over all the compositions of n and (a_1)=a_1, (a_1; a_2) = binomial(a_1, a_2), and (a_1; a_2; ...; a_(k-1); a_k) = ((a_1; a_2; ..., a_(k-1)); a_k). - Sean A. Irvine, May 07 2017
CROSSREFS
Sequence in context: A033085 A332320 A349862 * A133745 A337880 A271341
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, May 07 2017
STATUS
approved