A006543 - OEIS

A006543

Maximal iterated binomial coefficients.
(Formerly M0512)

1, 2, 3, 4, 5, 6, 10, 15, 45, 120, 990, 14190, 489555, 161226780, 476106503180, 19554673086218985, 698490144518203427450060, 17987097565293886931115539020016860, 1246236391932004987381133823926620650891666994820

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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

Sean A. Irvine, Table of n, a(n) for n = 1..27

Solomon W. Golomb, Iterated binomial coefficients, Amer. Math. Monthly, 87 (1980), 719-727.

C. L. Mallows, Letter to N. J. A. Sloane, 1980

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

Adjacent sequences: A006540 A006541 A006542 * A006544 A006545 A006546

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Sean A. Irvine, May 07 2017

STATUS

approved