19426

Appears in sequences

• Number of ways a black pawn (from any starting square on the second back rank) can (theoretically) end on the n-th square of the leftmost file counted from the back rank.at n=11A062106
• a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal.at n=37A063676
• Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 6.at n=18A096517
• Length of row n of the Kolakoski fan A143477.at n=24A143586
• Ulam's spiral (ENE spoke).at n=35A143856
• 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, 0), (1, 1, -1), (1, 1, 1)}.at n=9A149259
• Triangle |S_{n,N}| read by rows, the number of permutations of [1..n] that are realized by a shift on N symbols.at n=18A165325
• Sums of the squares of multinomial coefficients.at n=5A183240
• Rectangular table where T(n,k) is the sum of the n-th powers of the k-th row of multinomial coefficients in triangle A036038 for n>=0, k>=0, as read by antidiagonals.at n=33A183610
• Floor-Sqrt transform of central trinomial coefficients (A002426).at n=20A192670
• a(n) = sum_{k=0..n} binomial(n,k)^4 * 3^k.at n=4A216795
• Number of distinct values of the sum of 2 products of three 0..n integers.at n=23A225259
• Number of 2 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal.at n=11A232336
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood.at n=30A271456
• a(n) = Sum_{k=0..n} 3^k * binomial(n,k)^n.at n=4A336212
• Numbers that are the sum of seven fourth powers in six or more ways.at n=18A345572
• Numbers that are the sum of seven fourth powers in exactly six ways.at n=15A345828
• Centered heptagonal numbers which are sphenic numbers.at n=6A360183