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A277320 Square array A(r,c) = A048720(A065621(r), c), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc. 10

%I #14 Nov 05 2016 07:24:06

%S 1,2,2,3,4,7,4,6,14,4,5,8,9,8,13,6,10,28,12,26,14,7,12,27,16,23,28,11,

%T 8,14,18,20,52,18,22,8,9,16,21,24,57,56,29,16,25,10,18,56,28,46,54,44,

%U 24,50,26,11,20,63,32,35,36,39,32,43,52,31,12,22,54,36,104,42,58,40,100,46,62,28,13,24,49,40,101,112,49,48,125,104,33,56,21

%N Square array A(r,c) = A048720(A065621(r), c), read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), etc.

%H Antti Karttunen, <a href="/A277320/b277320.txt">Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%H <a href="/index/Ge#GF2X">Index entries for sequences operating on polynomials in ring GF(2)[X]</a>

%F A(r,c) = A048720(A065621(r), c).

%e The top left corner of the array:

%e 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

%e 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

%e 7, 14, 9, 28, 27, 18, 21, 56, 63, 54, 49, 36

%e 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

%e 13, 26, 23, 52, 57, 46, 35, 104, 101, 114, 127, 92

%e 14, 28, 18, 56, 54, 36, 42, 112, 126, 108, 98, 72

%e 11, 22, 29, 44, 39, 58, 49, 88, 83, 78, 69, 116

%e 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96

%e 25, 50, 43, 100, 125, 86, 79, 200, 209, 250, 227, 172

%e 26, 52, 46, 104, 114, 92, 70, 208, 202, 228, 254, 184

%e 31, 62, 33, 124, 99, 66, 93, 248, 231, 198, 217, 132

%e 28, 56, 36, 112, 108, 72, 84, 224, 252, 216, 196, 144

%e 21, 42, 63, 84, 65, 126, 107, 168, 189, 130, 151, 252

%e 22, 44, 58, 88, 78, 116, 98, 176, 166, 156, 138, 232

%e 19, 38, 53, 76, 95, 106, 121, 152, 139, 190, 173, 212

%e 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192

%e 49, 98, 83, 196, 245, 166, 151, 392, 441, 490, 475, 332

%e 50, 100, 86, 200, 250, 172, 158, 400, 418, 500, 454, 344

%e 55, 110, 89, 220, 235, 178, 133, 440, 399, 470, 481, 356

%o (Scheme)

%o (define (A277320 n) (A277320bi (A002260 n) (A004736 n)))

%o (define (A277320bi row col) (A048720bi (A065621 row) col))

%Y Transpose: A277199.

%Y Main diagonal: A277699.

%Y Row 1: A000027, Row 3: A048727.

%Y Column 1: A065621, Column 3: A277823, Column 5: A277825.

%Y Cf. A277820 (array obtained by selecting only the columns with an index A001317(k), k=0..).

%Y Cf. A048720, A115872.

%K nonn,base,tabl

%O 1,2

%A _Antti Karttunen_, Nov 01 2016

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)