38226

Appears in sequences

• Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.at n=23A002817
• Numbers whose base-2 representation has exactly 14 runs.at n=20A043581
• a(n) = 49*(n*(n+1)/2) + 6.at n=39A061792
• Triangular numbers with sum of digits = 21.at n=24A068131
• a(1) = 0, then smallest triangular number such that a(n+1)- a(n) is a palindrome.at n=25A075057
• Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=36A089157
• Numbers n such that 30*n+{1,7,11,13,17,19,29} are all prime.at n=4A100423
• Triangular numbers for which the sum of the digits is an octagonal number.at n=27A117523
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, -1, 1), (0, 1, 0), (0, 1, 1), (1, 1, -1)}.at n=8A150517
• Number of partitions of n into exactly 5 different parts with distinct multiplicities.at n=33A212116
• Number of representations of n as a sum of products of pairs of positive integers, n = Sum_{k=1..m} i_k*j_k with i_k<=j_k, i_k<=i_{k+1}, j_k<=j_{k+1}, i_k*j_k<=i_{k+1}*j_{k+1}.at n=38A212214
• Triangular numbers representable as x*y+x+y such that x and y are triangular numbers, x>=y>0.at n=22A259745
• Triangular numbers representable as x*y+x+y such that x and y are triangular numbers, x>=y>1.at n=17A259746
• Numbers k such that Lucas(k) + prime(k) is a prime.at n=10A288794
• Numbers k such that there are exactly 7 primes between 30*k and 30*k+30.at n=13A385124