62496

Appears in sequences

• Number of diagonal dissections of an n-gon into 3 regions.at n=27A033275
• a(n) = n*(n+1)*(2*n+1).at n=31A055112
• Numbers n such that sigma(n) = phi(prime(n)+1).at n=28A067625
• Numbers n which when converted to base 5, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded.at n=16A091079
• a(n) = p*(p + 1)*(2*p + 1) where p is the n-th prime.at n=10A098996
• Triangle read by rows: T(n,k) = the number of ascending runs of length k in the permutations of [n] for k <= n.at n=39A122843
• Sign weighted matrices n X n:example {{2 w[2], w[0], w[1]}, {3 w[0], 2 w[1], w[2]}, {3 w[1], 3 w[2], 2 w[0]}} are made into monomials using w[n]=1 if n<>0, x if n==0. The coefficients of the monomials form a triangular sequence.at n=49A140326
• Lower triangular array, called S1hat(6), related to partition number array A145356.at n=22A145357
• Second column (m=2) of triangle A145357 (S1hat(6)).at n=5A145359
• The general form of the recurrences are the a(j), b(j) and n(j) solutions of the 2 equations problem: 3*n(j) + 1 = a(j)*a(j) and 5*n(j) + 1 = b(j)*b(j) with positive integer numbers.at n=3A159683
• Permanent of the n X n matrix whose (i,j)-element is (i+j-1) modulo 3.at n=7A179079
• Numbers with prime factorization pqr^2s^5.at n=33A190293
• Generalized Euler phi function (for p=5).at n=6A192037
• Permanent of the n-th principal submatrix of A204427.at n=7A204428
• Permanent of the n-th principal submatrix of A204433.at n=7A204434
• G.f.: A(x) = 1 + x*B(x), where B(x) = 1 + x^2*C(x)^2, C(x) = 1 + x^3*D(x)^3, D(x) = 1 + x^4*E(x)^4, ...at n=39A228866
• Positive solutions of Monkey and Coconuts Problem for the classic case (5 sailors, 1 coconut to the monkey): a(n) = 15625*n - 4 for n >= 1.at n=3A254029
• a(n) = (n-1)*(n-2)*(n+3)*(n+2)/12.at n=29A299120
• a(n) = Sum_{k = n..2*n+1} k^2.at n=29A299646
• Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: p(x,n) = 2^(n-1) ((x+r)^n - (x+s)^n)/(r - s), where r = 1 and s = 1/2.at n=40A327318