-111
domain: Z
Appears in sequences
- a(1) = 0, a(2) = 0; for n > 2, a(n) - a(n-3) - a(n-5) - ... - a(n-p) = n if n is prime, otherwise = 0, where p = largest prime < n.at n=17A002123
- Reversion of g.f. (beginning with constant term) for number of trees with n nodes.at n=8A007315
- Expansion of e.g.f.: exp(sinh(sin(x))).at n=7A009219
- Expansion of log(1+x)*exp(tanh(x)).at n=9A009420
- Column 1 of triangle A052311.at n=11A052312
- a(n) = Sum_{d|2n+1} phi(d)*mu(d).at n=56A054586
- Numbers k such that 36*k^2 + 12*k + 5 is prime (sorted by absolute values with negatives before positives).at n=57A056907
- McKay-Thompson series of class 14b for Monster.at n=44A058506
- McKay-Thompson series of class 24d for Monster.at n=41A058587
- McKay-Thompson series of class 44a for Monster.at n=20A058680
- McKay-Thompson series of class 84a for Monster.at n=43A058761
- Generalized sum of divisors function: second diagonal of A060184.at n=72A060185
- Coefficient array for certain numerator polynomials N4(n,x), n >= 0 (rising powers of x) used for quadrinomials.at n=56A063421
- Convolution of A075298 with A056594.at n=16A075495
- Expansion of 1/( (1-x)*(1 + x^2 + x^3) ).at n=28A077889
- a(n) = sigma(n) - 4*phi(n).at n=48A079546
- First order recursion: a(0)=1; a(n) = sigma(1,n) - a(n-1).at n=27A083238
- Expansion of (eta(q) * eta(q^39)) / (eta(q^3) * eta(q^13)) in powers of q.at n=65A094363
- Expansion of 1/sqrt(1 - 6x + 17x^2).at n=4A098339
- Inverse of a Fibonacci-Pascal matrix A105809.at n=62A105810