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 A188122 Table read by downward antidiagonals: T(n,k) is the number of strictly increasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero. 15
 0, 0, 1, 0, 2, 0, 0, 3, 2, 3, 0, 4, 4, 8, 4, 0, 5, 8, 16, 16, 16, 0, 6, 12, 31, 42, 52, 42, 0, 7, 18, 51, 90, 137, 152, 137, 0, 8, 24, 80, 172, 308, 426, 484, 426, 0, 9, 32, 118, 296, 624, 1032, 1398, 1536, 1398, 0, 10, 40, 167, 482, 1154, 2216, 3528, 4622, 5064, 4622, 0, 11, 50 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ... 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, ... 0, 2, 4, 8, 12, 18, 24, 32, 40, 50, 60, ... 3, 8, 16, 31, 51, 80, 118, 167, 227, 302, 390, ... 4, 16, 42, 90, 172, 296, 482, 740, 1092, 1554, 2154, ... 16, 52, 137, 308, 624, 1154, 1999, 3278, 5144, 7772, 11387, ... 42, 152, 426, 1032, 2216, 4376, 8044, 13994, 23210, 37030, 57086, ... 137, 484, 1398, 3528, 7970, 16547, 32035, 58595, 102113, 170844, 275878, ... 426, 1536, 4622, 12124, 28660, 62222, 126122, 241250, 439514, 767656, 1292864, ... 1398, 5064, 15594, 42262, 103599, 233880, 493267, 982016, 1861168, 3379972, 5913676, ... LINKS R. H. Hardin, Table of n, a(n) for n = 1..550 Louis Ng, Magic counting with inside-out polytopes, Master's Thesis, San Francisco State University, 2018. EXAMPLE Some solutions for n=8, k=6: -11 -12 -11 -11 -12 -10 -11 -12 -12 -9 -10 -11 -11 -12 -12 -7 -9 -9 -10 -8 -6 -8 -9 -11 -9 -5 -8 -10 -8 -10 -10 -6 -5 -8 -4 -4 -4 -5 -8 -4 -8 -4 -5 -4 -7 -9 -5 -5 -4 -3 -2 -2 -1 -3 -3 -2 1 -2 -3 -1 1 1 -2 -3 2 5 2 1 2 -1 1 -1 4 1 4 3 2 2 3 -2 6 8 4 6 4 8 7 7 5 2 5 4 6 8 5 5 9 9 10 7 5 9 11 11 9 8 8 8 7 9 9 8 12 10 11 11 12 10 12 12 10 9 9 11 10 11 12 10 CROSSREFS Row 3 is A007590. Sequence in context: A205341 A195664 A053202 * A341841 A050186 A334218 Adjacent sequences: A188119 A188120 A188121 * A188123 A188124 A188125 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Mar 21 2011 STATUS approved

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Last modified February 6 22:49 EST 2023. Contains 360111 sequences. (Running on oeis4.)