cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A254107 Transposed dispersion of A055938.

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%I A254107 #8 Feb 06 2015 02:49:08
%S A254107 1,3,2,4,6,5,7,9,13,12,8,14,20,28,27,10,17,29,43,59,58,11,21,36,60,90,
%T A254107 122,121,15,24,44,75,123,185,249,248,16,30,51,91,154,250,376,504,503,
%U A254107 18,33,61,106,186,313,505,759,1015,1014,19,37,68,124,217,377,632,1016,1526,2038,2037,22,40,76,139,251,440,760,1271,2039,3061,4085,4084
%N A254107 Transposed dispersion of A055938.
%C A254107 This is dispersion array A254105 transposed. Please see there for a description.
%H A254107 Antti Karttunen, <a href="/A254107/b254107.txt">Table of n, a(n) for n = 1..120; the first 15 antidiagonals of array</a>
%H A254107 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A254107 If row = 1, then A(row,col) = A005187(col), otherwise A(row,col) = A055938(A(row-1,col)).
%e A254107 The top left corner of the array:
%e A254107      1,    3,    4,    7,    8,   10,   11,   15,   16,    18,    19,    22
%e A254107      2,    6,    9,   14,   17,   21,   24,   30,   33,    37,    40,    45
%e A254107      5,   13,   20,   29,   36,   44,   51,   61,   68,    76,    83,    92
%e A254107     12,   28,   43,   60,   75,   91,  106,  124,  139,   155,   170,   187
%e A254107     27,   59,   90,  123,  154,  186,  217,  251,  282,   314,   345,   378
%e A254107     58,  122,  185,  250,  313,  377,  440,  506,  569,   633,   696,   761
%e A254107    121,  249,  376,  505,  632,  760,  887, 1017, 1144,  1272,  1399,  1528
%e A254107    248,  504,  759, 1016, 1271, 1527, 1782, 2040, 2295,  2551,  2806,  3063
%e A254107    503, 1015, 1526, 2039, 2550, 3062, 3573, 4087, 4598,  5110,  5621,  6134
%e A254107   1014, 2038, 3061, 4086, 5109, 6133, 7156, 8182, 9205, 10229, 11252, 12277
%e A254107 etc.
%o A254107 (Scheme)
%o A254107 (define (A254107 n) (A254105bi (A004736 n) (A002260 n)))
%o A254107 (define (A254105bi row col) (if (= 1 col) (A005187 row) (A055938 (A254105bi row (- col 1)))))
%Y A254107 Inverse: A254108.
%Y A254107 Transpose: A254105.
%Y A254107 Row 1: A005187. Column 1: A000325.
%Y A254107 Row index: A254111, Column index of n: A254112.
%Y A254107 Cf. A002260, A004736, A005187, A055938.
%K A254107 nonn,tabl
%O A254107 1,2
%A A254107 _Antti Karttunen_, Jan 26 2015