23142

Appears in sequences

• Expansion of Product_{m>=1} (1 + m*q^m)^14.at n=5A022642
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=43A024599
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=42A025113
• Numbers whose base-4 representation contains exactly four 1's and four 2's.at n=10A045109
• a(n) is both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers.at n=28A059270
• Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=24A064443
• a(n) = 16n^2 + n.at n=37A157474
• a(n) = 64*n^2 + 2*n.at n=19A158070
• a(n) = 1444*n^2 + 38.at n=4A158766
• Numbers n such that n^6 + 545 is prime.at n=12A163592
• Partial sums of A027642.at n=32A173242
• A 2n X 2n square filled with "ON" cells becomes a period a(n) oscillator using the life-like cellular automaton B345/S4567.at n=15A178699
• Numbers n such that the sum of the distinct prime divisors of n that are congruent to 1 mod 4 equals the sum of the distinct prime divisors congruent to 3 mod 4.at n=9A215949
• Sum of all the parts in the partitions of n into 4 parts.at n=42A308775
• a(n) = n*(2*n + 1)*(4*n + 1).at n=14A316224
• Numbers that occur more than once in A338529.at n=1A338537