24584

Appears in sequences

• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=107A008302
• Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=113A008302
• arctanh(arcsin(x)*exp(x))=x+2/2!*x^2+6/3!*x^3+32/4!*x^4+248/5!*x^5...at n=7A012324
• a(n) = 1^n + 6^n + 7^n.at n=5A074520
• a(0) = 19; for n>0, successively subtract 5, subtract 3 and double.at n=41A106706
• One fifth of the sum of the first n primes, when an integer.at n=34A112271
• Number of reduced words of length n in the Weyl group A_8.at n=15A161456
• Number of reduced words of length n in the Weyl group A_8.at n=21A161456
• Number of 5-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=23A187510
• (A192533)/2.at n=40A192534
• Recurring digital invariants of order 5.at n=6A218246
• Numbers m such that the GCD of the x's that satisfy sigma(x) = m is 4.at n=27A241649
• Number of ways two L-tiles can be placed on an n X n square.at n=16A243645
• Numbers k such that card({x|sigma(x)=k}) > 1 and (Sum_{sigma(x)=k} x) < k.at n=30A258931
• Coefficients in the expansion of 1/([r] + [2r]x + [3r]x^2 + ...); [ ] = floor, r = sqrt(2).at n=42A279587
• Sum of the squarefree parts of the partitions of n into 6 parts.at n=35A309481
• T(n,e) is the number of unlabeled posets of n>=0 points with e>=0 arcs in the Hasse diagram, irregular triangle read by rows.at n=68A342447
• Number of connected planar cubic simple graphs on 2n unlabeled nodes with chromatic index 4.at n=9A358284
• a(n) is the largest integer k such that there is an integer m with exactly n nonunitary prime factors and m + A005117(i) is squarefree for 1 <= i <= k.at n=20A390138