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Transposed dispersion of A055938.
9

%I #8 Feb 06 2015 02:49:08

%S 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 122,121,15,24,44,75,123,185,249,248,16,30,51,91,154,250,376,504,503,

%U 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 Transposed dispersion of A055938.

%C This is dispersion array A254105 transposed. Please see there for a description.

%H Antti Karttunen, <a href="/A254107/b254107.txt">Table of n, a(n) for n = 1..120; the first 15 antidiagonals of array</a>

%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

%F If row = 1, then A(row,col) = A005187(col), otherwise A(row,col) = A055938(A(row-1,col)).

%e The top left corner of the array:

%e 1, 3, 4, 7, 8, 10, 11, 15, 16, 18, 19, 22

%e 2, 6, 9, 14, 17, 21, 24, 30, 33, 37, 40, 45

%e 5, 13, 20, 29, 36, 44, 51, 61, 68, 76, 83, 92

%e 12, 28, 43, 60, 75, 91, 106, 124, 139, 155, 170, 187

%e 27, 59, 90, 123, 154, 186, 217, 251, 282, 314, 345, 378

%e 58, 122, 185, 250, 313, 377, 440, 506, 569, 633, 696, 761

%e 121, 249, 376, 505, 632, 760, 887, 1017, 1144, 1272, 1399, 1528

%e 248, 504, 759, 1016, 1271, 1527, 1782, 2040, 2295, 2551, 2806, 3063

%e 503, 1015, 1526, 2039, 2550, 3062, 3573, 4087, 4598, 5110, 5621, 6134

%e 1014, 2038, 3061, 4086, 5109, 6133, 7156, 8182, 9205, 10229, 11252, 12277

%e etc.

%o (Scheme)

%o (define (A254107 n) (A254105bi (A004736 n) (A002260 n)))

%o (define (A254105bi row col) (if (= 1 col) (A005187 row) (A055938 (A254105bi row (- col 1)))))

%Y Inverse: A254108.

%Y Transpose: A254105.

%Y Row 1: A005187. Column 1: A000325.

%Y Row index: A254111, Column index of n: A254112.

%Y Cf. A002260, A004736, A005187, A055938.

%K nonn,tabl

%O 1,2

%A _Antti Karttunen_, Jan 26 2015