-1428
domain: Z
Appears in sequences
- Shifts left when Moebius transformation applied twice.at n=48A007551
- Image of primes (A000040) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=40A056221
- a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=44A071167
- Row sums of a characteristic triangle for the Fibonacci numbers.at n=9A110034
- a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime.at n=46A117330
- Riordan array (1-4x, x(1-x)^3).at n=51A119305
- Inverse of Riordan array (1/(1-x)^3, x/(1-x)^3).at n=15A127894
- Expansion of reversion of (x - 2*x^2) / (1 - x)^3.at n=11A134565
- Expansion of q * f(-q^20) / (f(q) * chi(-q^5)) in powers of q where f(), chi() are Ramanujan theta functions.at n=25A145724
- Expansion of series reversion of generating function for triangular numbers.at n=6A179848
- A weighted count of the number of overpartitions of n with restricted odd differences.at n=35A261035
- Alternating sum of centered heptagonal pyramidal numbers.at n=13A270694
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 597", based on the 5-celled von Neumann neighborhood.at n=41A273147
- G.f.: 1/(1 - x*d/dx log(eta(x))), where eta(x) is Dedekind's eta(q) function without the q^(1/24) factor.at n=34A283334
- Triangle read by rows: Riordan array (2 - D(x), x * D(x)) where D(x) is g.f. of A001764.at n=21A380191