-161

Appears in sequences

• Expansion of e.g.f. cosh(log(1+x))/exp(x).at n=5A009132
• Expansion of tanh(log(1+x)/cosh(x)).at n=7A009787
• Matrix inverse of triangle A055363(n+2,k).at n=29A055370
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=45A060022
• a(n) = n*p(n+1)-(n+1)*p(n) = n*d(n)-p(n), where p(n) is the n-th prime and d(n) is the n-th prime-difference, A001223(n).at n=59A062357
• Expansion of 1/((1-x)*(1+x+x^2+2*x^3)).at n=21A077909
• a(n) = 1/2 + (1-6*n)*(-1)^n/2.at n=54A084060
• Coefficients of the C-Bailey Mod 9 identity.at n=46A104469
• McKay-Thompson series of class 40d for the Monster group.at n=45A112182
• Triangle, real terms extracted from squares of paired terms in arithmetic sequences.at n=29A121164
• Matrix inverse of triangle A121335, where A121335(n,k) = C( n*(n+1)/2 + n-k + 1, n-k) for n>=k>=0.at n=24A121440
• Expansion of x*(1+2*x+3*x^2+4*x^3+4*x^4)/(1+x+x^2+x^3-x^5).at n=35A122520
• a(n) = n!*b(n), where b(n) = ((n-1)^2 - 2)*b(n-2)/(n*(n-1)) and b(0) = b(1) = 1.at n=6A123026
• a(n) = prime(n)*(prime(n + 1) + 1) - (n^3 + sum of digits of n^3).at n=10A123139
• Irregular triangle read by rows: row n is the expansion of (1 + 2*x - x^2)^n.at n=59A123199
• Triangle read by rows: the n-th row consists of the coefficients in the expansion of Sum_{j=0..n} A123162(n,j)*x^j*(1 - x)^(n - j).at n=24A123217
• Number of partitions of n with even crank minus number of partitions of n with odd crank.at n=35A124226
• Expansion of unique cusp form of weight 4 level 7 in powers of q.at n=31A129666
• Expansion of phi(-x) * chi(-x) in powers of x where phi(), chi() are Ramanujan theta functions.at n=35A132970
• Numerator of Euler(n, 7/30).at n=2A157463