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 A286157 Transpose of square array A286156. 2
 1, 3, 2, 6, 1, 2, 10, 4, 5, 2, 15, 3, 1, 5, 2, 21, 7, 4, 9, 5, 2, 28, 6, 8, 1, 9, 5, 2, 36, 11, 3, 4, 14, 9, 5, 2, 45, 10, 7, 8, 1, 14, 9, 5, 2, 55, 16, 12, 13, 4, 20, 14, 9, 5, 2, 66, 15, 6, 3, 8, 1, 20, 14, 9, 5, 2, 78, 22, 11, 7, 13, 4, 27, 20, 14, 9, 5, 2, 91, 21, 17, 12, 19, 8, 1, 27, 20, 14, 9, 5, 2, 105, 29, 10, 18, 3, 13, 4, 35, 27, 20, 14, 9, 5, 2 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A286156. LINKS FORMULA A(n,k) = A286156(k,n). EXAMPLE The top left 15 X 15 corner of the array:   1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78,  91, 105, 120   2, 1, 4,  3,  7,  6, 11, 10, 16, 15, 22, 21,  29,  28,  37   2, 5, 1,  4,  8,  3,  7, 12,  6, 11, 17, 10,  16,  23,  15   2, 5, 9,  1,  4,  8, 13,  3,  7, 12, 18,  6,  11,  17,  24   2, 5, 9, 14,  1,  4,  8, 13, 19,  3,  7, 12,  18,  25,   6   2, 5, 9, 14, 20,  1,  4,  8, 13, 19, 26,  3,   7,  12,  18   2, 5, 9, 14, 20, 27,  1,  4,  8, 13, 19, 26,  34,   3,   7   2, 5, 9, 14, 20, 27, 35,  1,  4,  8, 13, 19,  26,  34,  43   2, 5, 9, 14, 20, 27, 35, 44,  1,  4,  8, 13,  19,  26,  34   2, 5, 9, 14, 20, 27, 35, 44, 54,  1,  4,  8,  13,  19,  26   2, 5, 9, 14, 20, 27, 35, 44, 54, 65,  1,  4,   8,  13,  19   2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77,  1,   4,   8,  13   2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,   1,   4,   8   2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104,   1,   4   2, 5, 9, 14, 20, 27, 35, 44, 54, 65, 77, 90, 104, 119,   1 MATHEMATICA Map[((#1 + #2)^2 + 3 #1 + #2)/2 & @@ # & /@ Reverse@ # &, Table[Function[m, Reverse@ QuotientRemainder[m, k]][n - k + 1], {n, 14}, {k, n, 1, -1}]] // Flatten (* Michael De Vlieger, May 20 2017 *) PROG (Scheme) (define (A286157 n) (A286156bi (A004736 n) (A002260 n))) ;; For A286156bi see A286156. (Python) def T(a, b): return ((a + b)**2 + 3*a + b)/2 def A(n, k): return T(n%k, int(n/k)) for n in range(1, 21): print [A(n - k + 1, k) for k in range(1, n + 1)] # Indranil Ghosh, May 20 2017 CROSSREFS Transpose: A286156. Sequence in context: A005267 A209269 A244823 * A016460 A248645 A161826 Adjacent sequences:  A286154 A286155 A286156 * A286158 A286159 A286160 KEYWORD nonn,tabl AUTHOR Antti Karttunen, May 04 2017 STATUS approved

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Last modified July 26 09:58 EDT 2021. Contains 346294 sequences. (Running on oeis4.)