-282

Appears in sequences

• Log of e.g.f. for trees A000055(n-1).at n=9A006802
• McKay-Thompson series of class 24d for Monster.at n=53A058587
• Expansion of Product_{k>=1} (1 - 2x^k).at n=46A070877
• Expansion of x/B(x) where B(x) is the g.f. for A002487.at n=64A073469
• Expansion of (1+4x-sqrt(1+4x^2))/(4+6x) in powers of x.at n=14A086990
• McKay-Thompson series of class 42C for the Monster group.at n=55A102314
• Expansion of sqrt(1-8x)/sqrt(1-4x).at n=4A104497
• Expansion of (chi(-x) * chi(-x^19))^2 in powers of x where chi() is a Ramanujan theta function.at n=27A134005
• Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)^n*(Sum[(k + 1)^n*x^k/k^2, {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^(n - 1) + (-1)^n*n *(-1 + x)^(n - 1) Log[1 - x])/x; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=22A154991
• Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)^n*(Sum[(k + 1)^n*x^k/k^2, {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^(n - 1) + (-1)^n*n *(-1 + x)^(n - 1) Log[1 - x])/x; p(x,n)=q(x,n)+x^n*q(1/x,n).at n=26A154991
• Omit first term from A160534 and divide by 7.at n=43A160535
• G.f. 1/sum(k>=0, (-1)^k * x^(k*(k+1)/2)).at n=29A208061
• G.f.: x^((k^2+k)/2)/(mul(1-x^i,i=1..k)*mul(1+x^r,r=1..oo)) with k = 3.at n=61A246582
• Expansion of 1 / (chi(x) * chi(x^7)) in powers of x where chi() is a Ramanujan theta function.at n=27A246762
• The arithmetic function uhat(n,1,8).at n=46A291502
• Values of A023900 which occur only at indices which are powers of a prime.at n=44A301374
• Hurwitz logarithm of squares [1,4,9,16,...].at n=4A302198
• a(n) = coefficient of x^n*y^n in Product_{n>=1} (1 - (x^n + y^n)).at n=55A322213
• G.f. A(x) satisfies: A(x) = x / exp(2 * Sum_{k>=1} A(x^k) / k).at n=5A345878
• Triangle read by rows where row m is the m-th Gilbreath polynomial and column n is the numerator of the coefficient of the n-th degree term.at n=21A347924