155195040

Appears in sequences

• Max{ k!/(a(1)!*a(2)!*..*a(n)!) : a(1) + 2*a(2) + 3*a(3) + ... + n*a(n) = n, a(1) + a(2) + ... + a(n) = k }.at n=35A102462
• Numbers with exactly 8 distinct prime divisors {2,3,5,7,11,13,17,19}.at n=15A147575
• Denominators of the Inverse Akiyama-Tanigawa transform of the aerated even-indexed Bernoulli numbers 1, 0, 1/6, 0, -1/30, 0, 1/42, ...at n=18A177690
• Denominators of the Inverse Akiyama-Tanigawa transform of the aerated even-indexed Bernoulli numbers 1, 0, 1/6, 0, -1/30, 0, 1/42, ...at n=19A177690
• Semi-unitary highly composite numbers: where the number of semi-unitary divisors of n (A322483) increases to a record.at n=22A322484
• E.g.f.: Product_{k>=1} (1 + x^(k*(k + 1)/2) / (k*(k + 1)/2)!).at n=20A334385
• a(n) = n!/(floor(n/2)!*floor(n/3)!*floor(n/6)!).at n=20A347304
• a(n) is the smallest number with exactly n divisors that are tetrahedral numbers.at n=28A358542
• Numbers k with record values of the ratio A000005(k)/A049419(k) between the number of divisors of k and the number of exponential divisors of k.at n=11A361807
• Numbers k neither squarefree nor prime powers that are products of primorials such that A119288(k) <= k/A007947(k) < A053669(k).at n=24A369541
• Numbers k that have a record number of divisors d such that gcd(d, k/d) is a square.at n=16A377707
• Numbers that have a record number of (1+phi)-divisors (A061389).at n=29A377711
• Irregular triangle T(n,k) = P(n)*2^k, n >= 0, k = 0..floor(log_2 prime(k+1)), where P = A002110.at n=31A378133
• a(n) = P(n) * 2^floor(log_2(prime(n+1))) = A002110(n) * A000079(A098388(n+1)).at n=8A378144