37044

Appears in sequences

• Expansion of (1-x^7)/(1-x)^7.at n=14A008489
• a(n) = 4*n^3.at n=21A033430
• a(n) = ceiling((n^3)/2).at n=42A036486
• Octahedral torus number: a(n) = n^2 + 2*(Sum_{k=1..n-1} k^2) - 2*(floor((n+1)/2)^2 + 2*(Sum_{k=1..floor((n+1)/2)-1} k^2)) + (1 - (-1)^n)/2.at n=41A050442
• Largest proper divisor of n^3.at n=40A071378
• Sum of all matrix elements M(i,j) = n!*(i/j), (i,j = 1..n).at n=5A098107
• a(n) = (n+1)(n+2)^3*(n+3)^2*(n+4)(5n^2 + 23n + 30)/8640.at n=5A107966
• Numbers k such that geometric mean of phi(k), k and sigma(k) is an integer.at n=1A112728
• Triangle of number of partitions that fit in an n X n box (but not in an (n-1) X (n-1) box) with Durfee square k.at n=50A116647
• Numbers of the form b^m/2 for even b and odd m > 2.at n=27A126032
• Interlacing n^3/2 and n^2(n + 1)/2.at n=41A130656
• Let df(n,k) = Product_{i=0..k-1} (n-i) be the descending factorial and let P(m,n) = df(n-1,m-1)^2*(2*n-m)/((m-1)!*m!). Sequence gives P(6,n).at n=9A132464
• A128064 * A001263.at n=49A136535
• Triangle T(n, k) = Sum_{m=0..k} Sum_{j=0..m} Multinomial(n-k-m-j, j, m, k), read by rows.at n=60A141724
• 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, -1, 0), (-1, 0, 1), (0, 0, -1), (0, 1, -1), (1, 0, 0)}.at n=11A148286
• Denominator of Euler(n, 1/21).at n=3A156762
• Fourth left hand column of triangle A163940.at n=9A163944
• a(n) = floor(1/{(1+n^4)^(1/4)}), where {} = fractional part.at n=20A184536
• Floor(1/{(8+n^4)^(1/4)}), where {}=fractional part.at n=41A184632
• Triangle read by rows, defined by T(n,k)=binomial(n,k)*|Stirling1(n,k)|, 0<=k<=n.at n=30A187555