44551

Appears in sequences

• a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2), t = A000045 (Fibonacci numbers).at n=19A023860
• a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t = (F(2), F(3), F(4), ...), F(n) = Fibonacci(n).at n=18A023864
• a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (Fibonacci numbers).at n=18A024857
• Number of partitions of n that do not contain 4 as a part.at n=45A027338
• a(n) = n*(94 + 5*n + 25*n^2 - 5*n^3 + n^4)/120.at n=23A057703
• Sort the digits of these triangular numbers into descending order and drop zeros to get primes.at n=36A082923
• Triangular numbers which are one more than a product of distinct triangular numbers.at n=23A083517
• Triangular numbers whose sum of aliquot divisors is a prime number.at n=22A083676
• A generalized Chebyshev transform of the Jacobsthal numbers.at n=12A105867
• Triangular numbers composed of digits {1,4,5}.at n=5A119123
• The non-common part of the smaller number of an amicable pair.at n=25A180326
• Triangular numbers representable as triangular(x)*triangular(y)+1.at n=18A226389
• Triangular numbers composed of only digits with line segments or both line segments and curves {1, 2, 4, 5, 7}.at n=20A247021
• Triangular numbers whose sum of divisors is an oblong number.at n=14A317478
• MM-numbers of labeled graphs with loops spanning an initial interval of positive integers.at n=39A320461
• Triangular numbers that in base 2 have the same number of 0's and 1's.at n=29A345348
• Triangular numbers such that the sum of cubes of their digits is prime.at n=23A345351