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A257505 Square array A(row,col): A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)); Dispersion of factorial base shift A255411.

%I A257505 #31 Sep 20 2016 13:25:43
%S A257505 1,4,2,18,12,3,96,72,16,5,600,480,90,22,6,4320,3600,576,114,48,7,
%T A257505 35280,30240,4200,696,360,52,8,322560,282240,34560,4920,2880,378,60,9,
%U A257505 3265920,2903040,317520,39600,25200,2976,432,64,10,36288000,32659200,3225600,357840,241920,25800,3360,450,66,11,439084800,399168000,35925120,3588480,2540160,246240,28800,3456,456,70,13
%N A257505 Square array A(row,col): A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)); Dispersion of factorial base shift A255411.
%C A257505 The array is read by downward antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
%C A257505 In Kimberling's terminology, this array is called the dispersion of sequence A255411 (when started from its first nonzero term, 4). The left column is the complement of that sequence, which is A256450.
%H A257505 Antti Karttunen, <a href="/A257505/b257505.txt">Table of n, a(n) for n = 1..1275; the first 50 antidiagonals of array</a>
%H A257505 Clark Kimberling, <a href="http://faculty.evansville.edu/ck6/integer/intersp.html">Interspersions and Dispersions</a>.
%H A257505 Clark Kimberling, <a href="http://www.jstor.org/discover/10.2307/2159163">Interspersions and Dispersions</a>, Proceedings of the American Mathematical Society, 117 (1993) 313-321.
%H A257505 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%H A257505 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A257505 A(row,1) = A256450(row-1), and for col > 1, A(row,col) = A255411(A(row,col-1)).
%e A257505 The top left corner of the array:
%e A257505    1,   4,  18,   96,   600,   4320,   35280,   322560,   3265920
%e A257505    2,  12,  72,  480,  3600,  30240,  282240,  2903040,  32659200
%e A257505    3,  16,  90,  576,  4200,  34560,  317520,  3225600,  35925120
%e A257505    5,  22, 114,  696,  4920,  39600,  357840,  3588480,  39553920
%e A257505    6,  48, 360, 2880, 25200, 241920, 2540160, 29030400, 359251200
%e A257505    7,  52, 378, 2976, 25800, 246240, 2575440, 29352960, 362517120
%e A257505    8,  60, 432, 3360, 28800, 272160, 2822400, 31933440, 391910400
%e A257505    9,  64, 450, 3456, 29400, 276480, 2857680, 32256000, 395176320
%e A257505   10,  66, 456, 3480, 29520, 277200, 2862720, 32296320, 395539200
%e A257505   11,  70, 474, 3576, 30120, 281520, 2898000, 32618880, 398805120
%e A257505   13,  76, 498, 3696, 30840, 286560, 2938320, 32981760, 402433920
%e A257505   14,  84, 552, 4080, 33840, 312480, 3185280, 35562240, 431827200
%e A257505   15,  88, 570, 4176, 34440, 316800, 3220560, 35884800, 435093120
%e A257505   17,  94, 594, 4296, 35160, 321840, 3260880, 36247680, 438721920
%e A257505   19, 100, 618, 4416, 35880, 326880, 3301200, 36610560, 442350720
%e A257505   20, 108, 672, 4800, 38880, 352800, 3548160, 39191040, 471744000
%e A257505   21, 112, 690, 4896, 39480, 357120, 3583440, 39513600, 475009920
%e A257505   23, 118, 714, 5016, 40200, 362160, 3623760, 39876480, 478638720
%e A257505   ...
%o A257505 (Scheme)
%o A257505 (define (A257505 n) (A257505bi (A002260 n) (A004736 n)))
%o A257505 (define (A257505bi row col) (if (= 1 col) (A256450 (- row 1)) (A255411 (A257505bi row (- col 1)))))
%Y A257505 Transpose: A257503.
%Y A257505 Inverse permutation: A257506.
%Y A257505 Row index: A257681, Column index: A257679.
%Y A257505 Columns 1-3: A256450, A257692, A257693.
%Y A257505 Rows 1-3: A001563, A062119, A130744 (without their initial zero-terms).
%Y A257505 Row 4: A213167 (without the initial one).
%Y A257505 Row 5: A052571 (without initial zeros).
%Y A257505 Cf. A007623, A256450, A255411.
%Y A257505 Cf. also permutations A255565, A255566.
%Y A257505 Thematically similar arrays: A035513, A054582, A246279.
%K A257505 nonn,base,tabl
%O A257505 1,2
%A A257505 _Antti Karttunen_, Apr 27 2015
%E A257505 Formula changed because of the changed starting offset of A256450 - _Antti Karttunen_, May 30 2016