cp's OEIS Frontend

A255557 Square array A(row,col): A(1,1) = 1, A(1,col) = A055938(col-1), and for row > 1: A(row,col) = A005187(1+A(row-1,col)).

%I A255557 #15 Apr 19 2015 00:52:47
%S A255557 1,2,3,5,4,7,6,10,8,15,9,11,19,16,31,12,18,22,38,32,63,13,23,35,42,74,
%T A255557 64,127,14,25,46,70,82,146,128,255,17,26,49,89,138,162,290,256,511,20,
%U A255557 34,50,97,176,274,322,578,512,1023,21,39,67,98,193,350,546,642,1154,1024,2047,24,41,78,134,194,385,695,1090,1282,2306,2048,4095
%N A255557 Square array A(row,col): A(1,1) = 1, A(1,col) = A055938(col-1), and for row > 1: A(row,col) = A005187(1+A(row-1,col)).
%C A255557 The array is read by antidiagonals: A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.
%C A255557 This is transpose of array A255555, see comments and links given there.
%H A255557 Antti Karttunen, <a href="/A255557/b255557.txt">Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array</a>
%H A255557 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A255557 A(row,col): A(1,1) = 1, and for the rest of topmost row: A(1,col) = A055938(col-1), and for any row > 1: A(row,col) = A005187(1+A(row-1,col)).
%e A255557 The top left corner of the array:
%e A255557      1,    2,    5,    6,    9,   12,   13,   14,   17,   20,    21,    24
%e A255557      3,    4,   10,   11,   18,   23,   25,   26,   34,   39,    41,    47
%e A255557      7,    8,   19,   22,   35,   46,   49,   50,   67,   78,    81,    94
%e A255557     15,   16,   38,   42,   70,   89,   97,   98,  134,  153,   161,   184
%e A255557     31,   32,   74,   82,  138,  176,  193,  194,  266,  304,   321,   365
%e A255557     63,   64,  146,  162,  274,  350,  385,  386,  530,  606,   641,   726
%e A255557    127,  128,  290,  322,  546,  695,  769,  770, 1058, 1207,  1281,  1447
%e A255557    255,  256,  578,  642, 1090, 1387, 1537, 1538, 2114, 2411,  2561,  2891
%e A255557    511,  512, 1154, 1282, 2178, 2770, 3073, 3074, 4226, 4818,  5121,  5778
%e A255557   1023, 1024, 2306, 2562, 4354, 5535, 6145, 6146, 8450, 9631, 10241, 11551
%e A255557   ...
%o A255557 (Scheme)
%o A255557 (define (A255557 n) (A255555bi (A004736 n) (A002260 n)))
%o A255557 (define (A255555bi row col) (if (= 1 col) (if (= 1 row) 1 (A055938 (- row 1))) (A005187 (+ 1 (A255555bi row (- col 1))))))
%Y A255557 Inverse permutation: A255558.
%Y A255557 Transpose: A255555.
%Y A255557 Column 1: A000225.
%Y A255557 Cf. A005187, A055938.
%Y A255557 Cf. A255559 (row index), A255560 (column index).
%Y A255557 Cf. also A254107, A256997 (variants).
%K A255557 nonn,tabl
%O A255557 1,2
%A A255557 _Antti Karttunen_, Apr 13 2015