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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. 9
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, 8, 14, 18, 20, 52, 18, 22, 8, 9, 16, 21, 24, 57, 56, 29, 16, 25, 10, 18, 56, 28, 46, 54, 44, 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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10440; the first 144 antidiagonals of array

Index entries for sequences related to binary expansion of n

Index entries for sequences operating on polynomials in ring GF(2)[X]

FORMULA

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

EXAMPLE

The top left corner of the array:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

PROG

(Scheme)

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

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

CROSSREFS

Transpose: A277199.

Main diagonal: A277699.

Row 1: A000027, Row 3: A048727.

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

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

Cf. A048720, A115872.

Sequence in context: A319638 A179637 A054241 * A088633 A213042 A114952

Adjacent sequences:  A277317 A277318 A277319 * A277321 A277322 A277323

KEYWORD

nonn,base,tabl

AUTHOR

Antti Karttunen, Nov 01 2016

STATUS

approved

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Last modified November 18 19:59 EST 2019. Contains 329288 sequences. (Running on oeis4.)