24192

Appears in sequences

• Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=41A001766
• Total height of trees with n nodes.at n=11A001853
• Denominators of logarithmic numbers (also of Gregory coefficients G(n)).at n=7A002207
• Denominators of coefficients for repeated integration.at n=5A002688
• Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=31A003781
• Theta series of the coset of the E_7 lattice in its dual.at n=7A005931
• Theta series of A_7 lattice.at n=11A008447
• Denominators of coefficients in expansion of sqrt(sin(x)/x) (even powers only).at n=3A008992
• a(n) is the concatenation of n and 8n.at n=23A009470
• tanh(arctan(arctanh(x)))=x-2/3!*x^3+24/5!*x^5-496/7!*x^7+24192/9!*x^9...at n=4A012236
• Expansion of e.g.f.: sech(sec(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5...at n=8A012779
• Expansion of x/(1 - 7*x - 5*x^2).at n=6A015562
• Theta series of 8-d 6-modular lattice G_2 tensor F_4 (or A_2 tensor D_4) with det 1296 and minimal norm 4 in powers of q^2.at n=17A028977
• Numbers m such that uphi(sigma(m)) = 2m, where the unitary phi function (A047994) is defined by: if x = p1^r1*p2^r2*p3^r3*... then uphi(x) = (p1^r1 - 1)*(p2^r2 - 1)*(p3^r3 - 1)*...at n=10A030165
• Nonzero coefficients in theta series of {E_7}* lattice.at n=15A030443
• Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 77.at n=37A031575
• Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*6^j.at n=30A038212
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*2^j.at n=33A038256
• Numbers whose base-5 representation contains exactly three 2's and three 3's.at n=28A045277
• Triangle read by rows: T(n,k) = number of paths of n upsteps U and n downsteps D that contain k UUDs.at n=27A051288