25260

Appears in sequences

• cosh(log(cos(x))) = 1+3/4!*x^4+30/6!*x^6+693/8!*x^8+25260/10!*x^10...at n=5A012007
• E.g.f.: x + (gdinv x - sinh x)/2, where gdinv = inverse-Gudermannian. Sequence has odd-indexed coefficients; others are zero.at n=5A013525
• Number of partitions of n into parts not of the form 15k, 15k+6 or 15k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=41A035960
• Number of sublattices of index n in generic 4-dimensional lattice.at n=28A038991
• Rhombi (in 3 different orientations) in a rhombus with 60-degree acute angles.at n=39A052153
• a(n) = n^3 + n^2 + n + 1.at n=29A053698
• a(n) = Z(S_m; sigma[1](n), sigma[2](n),..., sigma[m](n)) where Z(S_m; x_1,x_2,...,x_m) is the cycle index of the symmetric group S_m and sigma[k](n) is the sum of k-th powers of divisors of n; m=3.at n=28A068020
• a(n) = 1 + prime(n) + prime(n)^2 + prime(n)^3.at n=9A131991
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 1), (1, 0, 0), (1, 1, -1)}.at n=9A148739
• Numerator of Euler(n, 4/19).at n=4A156704
• a(n) = Sum_{d|n} Moebius(n/d)*d^(b-1)/phi(n) for b = 5.at n=28A160891
• Sequence showing kinds of "waves", built as follows in comments.at n=64A174401
• Sum of divisors of cubes.at n=28A175926
• a(n) = (29^n - 1)/28.at n=4A218732
• 60-gonal (hexacontagonal) numbers: a(n) = n(29n - 28).at n=30A249911
• Expansion of phi(x^2) * chi(x)^4 in powers of x where phi(), chi() are Ramanujan theta functions.at n=25A260515
• Totient numbers (A002202) of the form 1 + k + k^2 + k^3 +...+ k^i (i > 1, k > 1).at n=15A282090
• Numbers m such that 3^(2m+1) - 3^m + 1 is prime.at n=13A344263
• Number of integer compositions of n with weighted alternating sum 0.at n=22A363626
• The sum of divisors of the smallest cubefull number that is a multiple of n.at n=28A369720