36856

Appears in sequences

• Even triangular numbers with prime indices.at n=30A034955
• a(n) = T(8,n), array T given by A048483.at n=12A048491
• G.f.: Product_{j>=1} (1 - x^j)^(-A000084(j)).at n=11A058499
• a(n) = n^4 - (n-1)^4 + (n-2)^4 - ... 0^4.at n=16A062392
• Permutation of N induced by rotating the node 2 left in the infinite planar binary tree shown at A065658.at n=40A065663
• Triangular numbers with sum of digits = 28.at n=6A068132
• a(n) = (9n^4 - 18n^3 + 18n^2 - 9n + 2)/2.at n=9A079903
• Third row of Pascal-(1,6,1) array A081581.at n=39A081591
• Triangular numbers which are one more than a product of distinct triangular numbers.at n=21A083517
• Numerator of (9*(n^4 - 2*n^3 + 2*n^2 - n) + 2)/(2*(2*n-1)).at n=9A096430
• Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=29A117062
• a(n) = 64*n^2 - 8.at n=23A158487
• The positions of zeros in A163898 and A163899.at n=41A165403
• Number of 7-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=11A187381
• Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array.at n=26A219810
• Expansion of (1+5*x+7*x^2-x^3)/((1-2*x^2)*(1-x)*(1+x)).at n=24A224692
• Least triangular number of the form p*triangular(n) where p is a prime number, or 0 if no such triangular number exists.at n=16A225789
• Triangular numbers representable as triangular(x)*triangular(y)+1.at n=17A226389
• Number of partitions of n such that 2*(greatest part) > (number of parts).at n=40A237754
• Triangular numbers that are the product of a triangular number and a prime number.at n=49A253651