-342

Appears in sequences

• a(n) = 1 - n^3.at n=7A024001
• Generalized Stirling number triangle of first kind.at n=11A049458
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=6A050459
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=13A050459
• a(n) = Sum_{d|n, d==1 mod 4} d^3 - Sum_{d|n, d==3 mod 4} d^3.at n=27A050459
• n - reversal of base 20 digits of n (written in base 10).at n=39A055967
• Low-temperature partition function expansion for hexagonal lattice (Potts model, q=4).at n=17A057389
• Apply inverse of "INVERT" transform to A007097, i.e.; the coefficients of the series 1/(1 + 2x + 3x^2 + 5x^3 + 11x^4 + 31x^5 + 127x^6 + 709x^7 ... ).at n=7A058316
• Multiplicative with a(p^e) = 1 - p^3.at n=6A063453
• Reversion of g.f. (with constant term included) for partition numbers.at n=11A066398
• Expansion of (1-x)/(1+x+2*x^2+2*x^3).at n=17A078052
• Matrix inverse of triangle A104505, which is the right-hand side of triangle A084610 of coefficients in (1 + x - x^2)^n.at n=50A104509
• Inverse of a Fibonacci-Pascal matrix A105809.at n=72A105810
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n, 0 < r <= n (see Example).at n=7A110426
• Inverse of a Delannoy related triangle.at n=41A113141
• Expansion of psi(-q)/psi(-q^2) in powers of q where psi() is a Ramanujan theta function.at n=41A116498
• Bond series for first perpendicular moment of 4.8 (bathroom tile) lattice.at n=14A120556
• Expansion of -1/(1 - x + x^2 - x^3 + x^4 + x^6).at n=45A125629
• a(2*n) = A000217(n), a(2*n+1) = -2*A000217(n).at n=37A131259
• Expansion of (phi(-q) / phi(-q^2))^3 * phi(q^3)^5 / phi(-q^6) in powers of q where phi() is a Ramanujan theta function.at n=49A134078