40426

Appears in sequences

• Expansion of 1/( (1-x)*(1-34*x+x^2) ).at n=3A029546
• Diagonal in array of n-gonal numbers A081422.at n=33A081437
• Number of pairs with two different elements which can be obtained by selecting unique elements from two sets with n+1 and n^2 elements respectively and n common elements.at n=34A085490
• Values of y in x^2 - 289 = 2*y^2.at n=14A106528
• A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers).at n=48A125662
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=17A156601
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 7, read by rows.at n=18A156601
• Triangle read by rows: T(n,k) is the number of ternary words (i.e., finite sequences of 0's, 1's and 2's) of length n having k occurrences of 01's (0 <= k <= floor(n/2)).at n=45A181371
• v(n+1)/v(n), where v=A203585.at n=2A203586
• Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of x in increasing order).at n=48A207815
• Values of k such that 100k+1, 100k+3, 100k+7, 100k+9, 100k+13, 100k+27 are consecutive primes.at n=1A216290
• Values of k such that 100k+1, 100k+3, 100k+7, 100k+9, 100k+13, 100k+27 are primes.at n=1A216291
• a(n) is a generalized pentagonal number such that 2*a(n) is also a generalized pentagonal number.at n=4A305539
• G.f. A(x) satisfies: 2*x = Sum_{n=-oo..+oo} (-1)^n * x^(n*(n+1)/2) * A(x)^n.at n=7A355352
• a(n) = (A388291(n)^2 - 1)/24.at n=8A389355