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A249434 Integers n such that n! divides the product of elements on row n of Pascal's triangle. 12
0, 1, 2, 4, 6, 10, 12, 16, 18, 22, 28, 30, 35, 36, 39, 40, 42, 46, 52, 58, 60, 62, 66, 70, 72, 78, 79, 82, 83, 88, 89, 96, 100, 102, 104, 106, 107, 108, 112, 126, 130, 131, 136, 138, 143, 148, 149, 150, 153, 156, 159, 162, 164, 166, 167, 172, 174, 175, 178, 179, 180, 181, 190, 192, 194, 196, 197, 198, 199, 207, 209, 210, 219, 222, 226, 228, 232, 238, 240, 250, 256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Integers n such that A249151(n) >= n.

Equally: Integers n such that A249431(n) is nonnegative.

It seems that A006093 gives all those k for which A249151(k) = k. If that is true, then this is a disjoint union of A006093 and A249429.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..1421

EXAMPLE

0! = 1 divides the product of binomial coefficients on row 0 of A007318, namely {1}, thus a(1) = 0.

1! = 1 divides the product of row 1 (1*1), thus a(2) = 1.

2! = 2 divides the product of row 2 (1*2*1), thus a(3) = 2.

3! = 6 does not divide the product of row 3 (1*3*3*1), but 4! = 24 divides the product of row 4 (1*4*6*4*1), as 96 = 4*24, thus a(4) = 4.

PROG

(Scheme, with Antti Karttunen's IntSeq-library)

(define A249434 (MATCHING-POS 1 0 (COMPOSE not negative? A249431)))

CROSSREFS

Complement: A249433.

Subsequences: A006093 (conjectured), A249429, A249430, A249432.

Cf. A000142, A001142, A007318, A249151, A249431.

Sequence in context: A107304 A082417 A161842 * A249425 A085477 A128984

Adjacent sequences:  A249431 A249432 A249433 * A249435 A249436 A249437

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 02 2014

STATUS

approved

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Last modified August 20 14:50 EDT 2019. Contains 326152 sequences. (Running on oeis4.)