42049

Appears in sequences

• Number of n-dimensional partitions of 5.at n=27A008779
• Numerators of continued fraction convergents to sqrt(146).at n=3A041266
• Numerators of continued fraction convergents to sqrt(584).at n=3A042118
• 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, 0, 1), (0, 0, 1), (0, 1, 1), (1, -1, 1), (1, 0, -1)}.at n=8A150579
• a(n) = 648*n^2 + 72*n + 1.at n=7A154515
• a(n) = 10368*n^2 + 288*n + 1.at n=1A157326
• a(n) = 128*n^2 + 32*n + 1.at n=17A157337
• 128n^2 + 2336n + 10657.at n=8A157433
• a(n) = 50*n^2 - 1.at n=28A157919
• Numerator of best rational approximation x/y of sqrt(k), y<=k, with k given by A306972. The corresponding denominators are given in A306974.at n=37A306973
• Centered octachoral numbers.at n=8A365206
• Sum of the legs of the unique primitive Pythagorean triple whose inradius is A000045(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=12A382308
• Number of closed knight's tours in the first 2n cells of a 5 X ceiling(2n/5) board.at n=12A383661