-405

Appears in sequences

• Low-temperature series for partition function for spin-1/2 Ising model on f.c.c. lattice.at n=24A002892
• Expansion of e.g.f. log(1+x)/cos(tan(x)).at n=6A009427
• (1/18)*Difference between concatenation of n and n^2 and concatenation of n^2 and n.at n=14A055435
• McKay-Thompson series of class 20e for Monster.at n=62A058560
• Expansion of (1-x)^(-1)/(1+x-2*x^2+x^3).at n=9A077899
• Expansion of (1-x)/(1+2*x^2-x^3).at n=19A078035
• a(n) = (n+1)*(2-n)/2.at n=29A080956
• Expansion of (1+x^2)/(1+x^2+x^5).at n=45A088002
• Coefficient triangle for computation of column numbers of triangle A071951 (Legendre-Stirling).at n=11A089278
• Triangle read by rows giving the coefficients of general sum formulas of n-th Fibonacci numbers (A000045). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies F(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=15A100492
• Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2*k-1, where T(i,k) satisfies L(n) = Sum_{k=1..n} Sum_{i=1..2*k-1} T(i,k) * C(n-k,i-1) * n^(n-k) / (n-1)!.at n=15A101033
• Sequence is identical to its third differences in absolute value: a(0), a(1), a(2), a(2n+1)=3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2)=3a(2n+1)-3a(2n), with a(0)=a(1)=0, a(2)=1.at n=18A131665
• a(2n+1) = 3a(2n)-3a(2n-1)+2a(2n-2), a(2n+2) = 3a(2n+1)-3a(2n), a(0) = 0, a(1) = 1, a(2) = 3.at n=17A133331
• Triangle by columns: A013610 signed and interleaved with zeros.at n=25A135871
• Triangle T(n,k) = binomial(n,k+2)-2*binomial(n,k+1)-binomial(n,k) read by rows, 0<=k<=n-2, n>=2.at n=42A140874
• Triangle, read by rows, T(n,k) = (-1)^k*binomial(n, k)*3^(n-k).at n=16A164942
• Expansion of (1-27x^2-108x^3)/((1-3x)^2*(1+3x+9x^2)).at n=4A168072
• The case S(-1,-2,3) of the family of self-convolutive recurrences studied by Martin and Kearney.at n=12A172485
• Array T(n,m) read by antidiagonals: the coefficient of [x^m] of 1/(-x^n + 1 - x^(1+n) + x + 3*x^(2+n) - 2*x^2 - x^(3+n)) in row n, column 1 <= m.at n=36A175721
• Expansion of g.f. 1+x+(1+3*x+x^2)/(1+x)^3.at n=28A201163