A188350
Number of arrangements of n+1 numbers x(i) in -1..1 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
5, 15, 29, 91, 197, 627, 1477, 4671, 11693, 36487, 95405, 293695, 792525, 2412175, 6660989, 20097243, 56450693, 169229571, 481426405, 1436666475, 4126292293, 12275100443, 35511918037, 105423983379, 306684489749, 909271908483
Offset: 1
Some solutions for n=4
..1....0....1...-1....0...-1....1....0....1...-1....0....0...-1...-1...-1....0
..0....0....0....0....0...-1....0....1....1....0....0....0....1....0....0....0
.-1...-1....1....1...-1....1...-1...-1....0...-1...-1...-1....1....0....0....1
.-1....0....0...-1....0....0....0...-1...-1....1....0...-1....0....0...-1....1
..1....1...-1...-1...-1....1...-1....0....1....1....0....1...-1...-1....0...-1
A188351
Number of arrangements of n+1 numbers x(i) in -2..2 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
9, 45, 117, 565, 1953, 9153, 37269, 173409, 766869, 3589357, 16545861, 78195505, 368573829, 1757922765, 8394885777, 40340645213, 194259462205, 938930726781, 4547344031581, 22077243778089, 107366485176765, 523060579628697
Offset: 1
Some solutions for n=4
..2...-1....1...-1...-2...-1....0....0....0...-1...-1....2....0...-2....1...-1
..0...-2....2....2....1....1...-1....0...-2...-2...-1....0....0....2....2....1
..0....1...-2...-1....0....1....0....0....0...-2...-2...-2....2....1....0....1
..2....0...-2...-2...-2....2....1...-1...-2....2....1....1....0....1...-1....0
..0...-1....1...-1...-1...-1....0....0....0...-1...-1....2....0....1....2...-1
A188352
Number of arrangements of n+1 numbers x(i) in -3..3 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
13, 91, 257, 1775, 7369, 49747, 262925, 1763151, 10536621, 70819767, 449413269, 3032790187, 19849674769, 134432007295, 895147297233, 6080318813363, 40910518802585, 278583012405979, 1887082800975125, 12878423767271251
Offset: 1
Some solutions for n=4
.-1....2...-2...-1...-3....2....0...-3....0....1....2....3....1....2....1....0
..0...-3....0....0....2...-2....0....1....0....3...-2...-1...-3....0....3....0
..3....0...-1...-2...-2...-2....3....2....2...-1...-2....1...-1....3....0...-2
..0....2....0...-2...-2....0....1....1...-1....0...-3...-2....0....0....1...-3
..0....3....1....2...-3...-3...-3...-1...-2....0....2...-3....2...-1...-3....2
A188353
Number of arrangements of n+1 numbers x(i) in -4..4 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
17, 153, 497, 4201, 22229, 181449, 1264985, 10396729, 81850801, 684867741, 5680170701, 48268778269, 410276328441, 3525682027185, 30364372592101, 262996695840081, 2283098828435689, 19886474577091625, 173553193860930897
Offset: 1
Some solutions for n=5
..0...-1...-1....0....0....0....0....0....1...-1....3....3...-1....2...-4....1
..2...-4...-3....0...-1....0...-4....4...-2...-1....2...-1....2....2...-1...-3
..1....4...-3....4...-3....4...-2...-1....0....1...-1...-3...-2...-4....4....3
..1....3....4....0....4...-1....4....0...-2....2....0....0...-3...-4....0....3
.-3...-3...-4....0....3...-2....0....1....1....1...-1....4....3....2....1....3
..0...-3...-4....4...-1...-1....3....4....4...-4....4....0....3...-2....0...-2
A188354
Number of arrangements of n+1 numbers x(i) in -5..5 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
21, 231, 749, 8051, 45801, 480363, 3882729, 40629247, 383541193, 4033546763, 40584302909, 428984471067, 4442125791917, 47152504083651, 495572482473621, 5279048333736159, 55969066137457201, 598015958507349743
Offset: 1
Some solutions for n=4
..1...-4...-5...-4....3....5....5....1...-5...-4....0...-5...-1....5...-3....1
..0...-4....3...-5....5...-1...-4...-2...-3...-4....0....0....0....2....2....4
..2...-3....3....3...-3....4....3...-4....1....4....4....3....0...-5....5....5
.-2....4....2...-1....5....3....4....2...-4....0....0...-1....0....4...-2...-3
.-2...-4....0....2....3...-1....5....1....2...-2...-5...-3....2....5...-3....3
A188355
Number of arrangements of n+1 numbers x(i) in -6..6 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
25, 325, 1205, 14477, 100885, 1171345, 11535493, 136061137, 1540834589, 18592832393, 222616829157, 2732659664405, 33554957179729, 416689678586229, 5184974750699645, 64895937068447245, 813946908435419257
Offset: 1
Some solutions for n=4
..2...-3....1...-1...-6...-1....3...-6....1....2...-4...-3....1...-4....0...-2
..0...-2...-5....3...-2....0....5....1...-2...-1....0...-5....4...-1....1...-6
..6...-3...-1....3....6....2...-3....2...-3...-3...-5....3...-4....4....0...-1
..0....6....5....6...-6...-2....0....1....1...-1....4....0....6....0...-1....6
.-5....1....1...-4...-6...-2....4....2...-1....4....5...-3....6...-2....0...-2
A188359
Number of arrangements of 4 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
29, 117, 257, 497, 749, 1205, 1569, 2161, 2765, 3589, 4177, 5377, 6077, 7253, 8561, 10017, 10941, 12837, 13873, 16017, 17933, 19845, 21105, 24097, 25981, 28245, 30593, 33729, 35325, 39397, 41105, 44449, 47517, 50517, 53905, 59009, 61053, 64405, 68033
Offset: 1
Some solutions for n=4
..0....2...-3....3....2....3....0...-2....4...-1...-3....0....3...-4...-4....2
.-2....0....2...-2....0....0....1....0....0...-2...-2....4....0....0....3....0
..0....0....3....3....3...-1....0....0...-3....1....3....0....3....2....4...-3
.-3...-2....0....4....0....0....1...-3....0....0....0...-1....0....0....0....0
A188360
Number of arrangements of 5 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
91, 565, 1775, 4201, 8051, 14477, 22583, 34625, 49755, 69749, 91855, 123945, 155779, 197533, 247399, 304785, 361755, 440021, 512415, 611097, 715123, 826765, 936711, 1090865, 1233531, 1393541, 1568623, 1774089, 1955795, 2212029, 2421127, 2686881
Offset: 1
Some solutions for n=4
..4....1....4...-3...-2...-1....1...-4...-3....2....3...-1....1....3...-2....0
..1...-4....3....1....0....3....3...-3....0....0....0....0....0...-1....2....0
..1....4...-2...-2...-1....0....3....0...-4...-2...-2....3....4...-3....2...-2
.-1....4....2...-1....0...-1...-2...-3....0....0....0....3....0....1...-1....0
..4....1...-1...-3....0...-3....3....4....1....1....2...-3...-4....3...-2....2
A188349
Number of arrangements of n+1 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
5, 45, 257, 4201, 45801, 1171345, 25217201, 870473329, 30807035021, 1370460938381
Offset: 1
Some solutions for n=4
..2...-2...-3....1....0....4....4....2...-4...-3...-1....4....2...-4...-2....4
..0....1...-4....2...-3....1....2....1...-2....0...-4....0....0....4...-1....4
.-1....3....2...-4...-3....2...-4...-2....1....1....0...-2...-2....4...-1...-3
.-1...-1...-4...-1....3...-1....1...-1....3....0....1....2....2....0....1....2
..1...-2...-1...-2....0....4....4....2...-3...-4...-4....2....2....2...-2....1
A188356
Number of arrangements of n+1 numbers x(i) in -7..7 with the sum of x(i)*x(i+1) equal to zero.
Original entry on oeis.org
29, 435, 1569, 22583, 163745, 2295051, 25217201, 355442823, 4602176797, 65556183495, 902973314217, 12966307902587, 183476638021301, 2650029026701115, 38023581868527461, 551634055112635223
Offset: 1
Some solutions for n=4
.-6...-1....2...-1...-3....3....7...-1....0...-3...-1....3...-7....7....3...-1
..0....0....0....0...-5....0...-5....0...-6....6...-6....2....0...-3....0....0
..3....1....2....5....3...-5...-3....2....1....2...-1....0...-3...-3....0....2
..1....4....6....4....0....0....5...-5....3...-3...-6....3...-7....6....0....0
.-3...-1...-2...-5...-2...-5....7...-2....1...-4....3...-2....3....5...-5...-5
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