-1169

Appears in sequences

• 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. Sequence contains the leading diagonal.at n=13A110427
• a(n) = -3*a(n-1) + a(n-3) for n>2, with a(0)=1, a(1)=1, a(2)=0.at n=10A122099
• a(n) = 3*a(n-1) - a(n-3) for n>2, with a(0)=1, a(1)=-1, a(2)=0.at n=10A122100
• First differences of A138383.at n=30A137174
• Numerator of Hermite(n, 7/12).at n=3A159485
• Series reversion of x + x^2 + x^3 + x^4 + x^5.at n=12A217365
• Triangle read by rows: T(n,k) appears in the transformation Sum_{k=0..n} (k+1)*x^k = Sum_{k=0..n} T(n,k)*(x+3k)^k.at n=34A253384
• G.f.: Sum_{n=-oo..+oo} n * x^n * (1 - x^n)^n.at n=40A291937
• Triangle read by rows: T(n,k) = (-3)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-2)^m.at n=34A292789