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Numbers that are congruent to {1, 7} mod 8.
+10
32
1, 7, 9, 15, 17, 23, 25, 31, 33, 39, 41, 47, 49, 55, 57, 63, 65, 71, 73, 79, 81, 87, 89, 95, 97, 103, 105, 111, 113, 119, 121, 127, 129, 135, 137, 143, 145, 151, 153, 159, 161, 167, 169, 175, 177, 183, 185, 191, 193, 199, 201, 207, 209, 215, 217, 223, 225, 231, 233
FORMULA
a(n) = sqrt(8* A014494(n)+1) = sqrt(16*ceiling(n/2)*(2*n+1)+1) = sqrt(8* A056575(n)-8*(2n+1)*(-1)^n+1). - Frederick Magata (frederick.magata(AT)uni-muenster.de), Jun 17 2004
CROSSREFS
Cf. A001132, A014494, A056575, A010709, A074378, A047336, A056020, A005408, A047209, A007310, A090771, A175885, A091998, A175886, A175887, A058529, A047621.
0, 6, 10, 28, 36, 66, 78, 120, 136, 190, 210, 276, 300, 378, 406, 496, 528, 630, 666, 780, 820, 946, 990, 1128, 1176, 1326, 1378, 1540, 1596, 1770, 1830, 2016, 2080, 2278, 2346, 2556, 2628, 2850, 2926, 3160, 3240, 3486, 3570, 3828, 3916, 4186, 4278, 4560
Bond percolation series for square lattice near a wall.
+10
2
1, 1, 2, 3, 6, 9, 17, 26, 47, 72, 129, 194, 348, 516, 929, 1351, 2456, 3506, 6471, 8929, 17029, 22579, 44707, 55969, 117836, 137313, 311654, 324989, 833496, 756309, 2242031, 1623709, 6176873, 3240757, 17192674, 4663165, 49481888, 1180046, 144593684, -40561669, 439929287, -230303695, 1351358555, -1116634980, 4353263697
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