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A256141 Square array read by antidiagonals upwards: T(n,k), n>=0, k>=0, in which row n lists the partial sums of the n-th row of the square array of A256140.

%I A256141 #20 Mar 29 2015 23:09:03
%S A256141 1,1,1,1,2,1,1,3,3,1,1,4,5,4,1,1,5,7,9,5,1,1,6,9,16,11,6,1,1,7,11,25,
%T A256141 19,15,7,1,1,8,13,36,29,28,19,8,1,1,9,15,49,41,45,37,27,9,1,1,10,17,
%U A256141 64,55,66,61,64,29,10,1,1,11,19,81,71,91,91,125,67,33,11,1,1,12,21,100,89,120,127,216,129,76,37,12,1
%N A256141 Square array read by antidiagonals upwards: T(n,k), n>=0, k>=0, in which row n lists the partial sums of the n-th row of the square array of A256140.
%C A256141 Questions:
%C A256141 Is also A130667 a row of this square array?
%C A256141 Is also A116522 a row of this square array?
%C A256141 Is also A116526 a row of this square array?
%C A256141 Is also A116525 a row of this square array?
%C A256141 Is also A116524 a row of this square array?
%H A256141 <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>
%e A256141 The corner of the square array with the first 15 terms of the first 12 rows looks like this:
%e A256141 --------------------------------------------------------------------------
%e A256141 A000012: 1, 1, 1,  1,  1,  1,  1,   1,   1,   1,   1,   1,   1,   1,   1
%e A256141 A000027: 1, 2, 3,  4,  5,  6,  7,   8,   9,  10,  11,  12,  13,  14,  15
%e A256141 A006046: 1, 3, 5,  9, 11, 15, 19,  27,  29,  33,  37,  45,  49,  57,  65
%e A256141 A130665: 1, 4, 7, 16, 19, 28, 37,  64,  67,  76,  85, 112, 121, 148, 175
%e A256141 A116520: 1, 5, 9, 25, 29, 45, 61, 125, 129, 145, 161, 225, 241, 305, 369
%e A256141 A130667? 1, 6,11, 36, 41, 66, 91, 216, 221, 246, 271, 396, 421, 546, 671
%e A256141 A116522? 1, 7,13, 49, 55, 91,127, 343, 349, 385, 421, 637, 673, 889,1105
%e A256141 A161342: 1, 8,15, 64, 71,120,169, 512, 519, 568, 617, 960,1009,1352,1695
%e A256141 A116526? 1, 9,17, 81, 89,153,217, 729, 737, 801, 865,1377,1441,1953,2465
%e A256141 .......: 1,10,19,100,109,190,271,1000,1009,1090,1171,1900,1981,2710,3439
%e A256141 A116525? 1,11,21,121,131,231,331,1331,1341,1441,1541,2541,2641,3641,4641
%e A256141 .......: 1,12,23,144,155,276,397,1728,1739,1860,1981,3312,3422,4764,6095
%Y A256141 Cf. A000120, A255740, A255741, A256140.
%Y A256141 First five rows are A000012, A000027, A006046, A130665, A116520. Row 7 is A161342.
%Y A256141 First eight columns are A000012, A000027, A005408, A000290, A028387, A000384, A003215, A000578. Column 9 is A081437. Column 11 is A015237. Columns 13-15 are A005915, A005917, A000583.
%K A256141 nonn,tabl
%O A256141 0,5
%A A256141 _Omar E. Pol_, Mar 16 2015