A262437 Triangle T(n,k): write n in base 16, reverse order of digits.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6, 1, 7, 1, 8, 1, 9, 1, 10, 1, 11, 1, 12, 1, 13, 1, 14, 1, 15, 1, 0, 2, 1, 2, 2, 2, 3, 2, 4, 2, 5, 2, 6, 2, 7, 2, 8, 2, 9, 2, 10, 2, 11, 2, 12, 2, 13, 2, 14, 2, 15, 2

Offset

0,3

Comments

Sum(T(n,k)*16^k : k = 0..A262438(n)-1) = n.

Links

Reinhard Zumkeller, Rows n = 0..10000 of triangle, flattened

Eric Weisstein's World of Mathematics, Hexadecimal

Wikipedia, Hexadecimal

Example

.   n | HEX | T(n,*)        n | HEX | T(n,*)        n | HEX | T(n,*)
. ----+-----+--------     ----+-----+--------     ----+-----+--------
.   0 |   0 |  [0]         24 |  18 |  [8,1]       48 |  30 |  [0,3]
.   1 |   1 |  [1]         25 |  19 |  [9,1]       49 |  31 |  [1,3]
.   2 |   2 |  [2]         26 |  1A |  [10,1]      50 |  32 |  [2,3]
.   3 |   3 |  [3]         27 |  1B |  [11,1]      51 |  33 |  [3,3]
.   4 |   4 |  [4]         28 |  1C |  [12,1]      52 |  34 |  [4,3]
.   5 |   5 |  [5]         29 |  1D |  [13,1]      53 |  35 |  [5,3]
.   6 |   6 |  [6]         30 |  1E |  [14,1]      54 |  36 |  [6,3]
.   7 |   7 |  [7]         31 |  1F |  [15,1]      55 |  37 |  [7,3]
.   8 |   8 |  [8]         32 |  20 |  [0,2]       56 |  38 |  [8,3]
.   9 |   9 |  [9]         33 |  21 |  [1,2]       57 |  39 |  [9,3]
.  10 |   A |  [10]        34 |  22 |  [2,2]       58 |  3A |  [10,3]
.  11 |   B |  [11]        35 |  23 |  [3,2]       59 |  3B |  [11,3]
.  12 |   C |  [12]        36 |  24 |  [4,2]       60 |  3C |  [12,3]
.  13 |   D |  [13]        37 |  25 |  [5,2]       61 |  3D |  [13,3]
.  14 |   E |  [14]        38 |  26 |  [6,2]       62 |  3E |  [14,3]
.  15 |   F |  [15]        39 |  27 |  [7,2]       63 |  3F |  [15,3]
.  16 |  10 |  [0,1]       40 |  28 |  [8,2]       64 |  40 |  [0,4]
.  17 |  11 |  [1,1]       41 |  29 |  [9,2]       65 |  41 |  [1,4]
.  18 |  12 |  [2,1]       42 |  2A |  [10,2]      66 |  42 |  [2,4]
.  19 |  13 |  [3,1]       43 |  2B |  [11,2]      67 |  43 |  [3,4]
.  20 |  14 |  [4,1]       44 |  2C |  [12,2]      68 |  44 |  [4,4]
.  21 |  15 |  [5,1]       45 |  2D |  [13,2]      69 |  45 |  [5,4]
.  22 |  16 |  [6,1]       46 |  2E |  [14,2]      70 |  46 |  [6,4]
.  23 |  17 |  [7,1]       47 |  2F |  [15,2]      71 |  47 |  [7,4]
.  24 |  18 |  [8,1]       48 |  30 |  [0,3]       72 |  48 |  [8,4]  .

Prog

(Haskell)
a262437 n k = a262437_tabf !! n !! k
a262437_row n = a262437_tabf !! n
a262437_tabf = iterate succ [0] where
   succ []      = [1]
   succ (15:hs) = 0 : succ hs
   succ (h:hs)  = (h + 1) : hs

Crossrefs

Cf. A001025, A262438 (row lengths), A030308 (binary), A030341 (ternary), A031298 (decimal).

Sequence in context: A323372 A295300 A139179 * A130909 A275993 A160700

Adjacent sequences: A262434 A262435 A262436 * A262438 A262439 A262440

Keyword

nonn,tabf,base

Author

Reinhard Zumkeller, Sep 22 2015

Status

approved