76636

Appears in sequences

• a(n) = n^2*(2*n^2 - 1); also Sum_{k=0..n-1} (2k+1)^3.at n=14A002593
• Triangular numbers whose reverse is prime.at n=17A066751
• Triangular numbers with sum of digits = 28.at n=21A068132
• Triangle read by rows in which the n-th row contains the n smallest triangular numbers with the least significant digits of the n-th triangular number.at n=35A095225
• Diagonal of the triangle A095225.at n=7A095226
• Transform of n^3 by the Riordan array (1/(1-x^2), x).at n=27A105636
• Numbers of the form prime(n) + prime(n+1) - 2 that are also triangular numbers, T(k) = k(k+1)/2.at n=29A110891
• Triangular numbers whose digit reversal is prime; trailing zeros are permitted.at n=23A115704
• Triangular numbers for which the number of divisors is also a triangular number.at n=24A116541
• Partial sums of dodecahedral numbers (A006566).at n=16A116689
• Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=38A117062
• Triangular numbers composed of digits {3,6,7}.at n=5A119194
• Measures of entanglement in 3-qbits.at n=27A129548
• Triangular arithmetic on half-squares: b(n)*(b(n) - 1)/2 where b(n) = floor(n^2/2).at n=28A227970
• a(n) = n*(n+1)*(n+2)*(n+3)*(2*n^2+6*n+7)/360.at n=14A259181
• Convolution of nonzero triangular numbers (A000217) and nonzero tetradecagonal numbers (A051866).at n=13A271567
• The first of three consecutive hexagonal numbers the sum of which is equal to the sum of three consecutive primes.at n=8A298272
• a(n) is the smallest triangular number T(k) such that both it and its successor T(k+1) have exactly 2n divisors, or 0 if no such pair of consecutive triangular numbers exists.at n=17A319036