100625

Appears in sequences

• Expansion of e.g.f. log(1 + tan(sin(x))).at n=9A009364
• arctanh(tan(sin(x)))=x+3/3!*x^3+41/5!*x^5+1467/7!*x^7+100625/9!*x^9...at n=4A012147
• Numbers m such that m^2 can be obtained from m by inserting an internal block of (contiguous) digits.at n=34A045953
• Numbers k such that k^2 can be obtained from k by inserting a block of digits.at n=42A046838
• a(n) = A061086(n) / n.at n=24A061087
• a(n) = n*(n+5)*(50+45*n+n^2)/24.at n=29A101861
• Wiener index of a benzenoid consisting of a chain of n hexagons characterized by the encoding s = 1133 (see the Gutman et al. reference, Sec. 5).at n=27A193399
• Number of (n+3) X 8 0..1 matrices with each 4 X 4 subblock idempotent.at n=20A224565
• a(n) = 5*(3*n+1)*(9*n+8)/2 (n>=0).at n=38A304508