A248110 Table read by rows: n-th row contains the q successors of n, where q = A007953(n), the digit sum of n in decimal representation.

2, 3, 4, 4, 5, 6, 5, 6, 7, 8, 6, 7, 8, 9, 10, 7, 8, 9, 10, 11, 12, 8, 9, 10, 11, 12, 13, 14, 9, 10, 11, 12, 13, 14, 15, 16, 10, 11, 12, 13, 14, 15, 16, 17, 18, 11, 12, 13, 13, 14, 15, 14, 15, 16, 17, 15, 16, 17, 18, 19, 16, 17, 18, 19, 20, 21, 17, 18, 19, 20

Offset: 1

Author

Reinhard Zumkeller, Oct 01 2014

Keywords

• nonn
• base
• tabf

Comments

First 9 rows coincide with triangle A108872;

T(n,1) = n + 1; T(n,A007953(n)) = n + A007953(n) = A062028(n).

Examples

			.   n |   T(n,*)                                 | A007953(n)
.  ---+------------------------------------------+-----------
.   1 |    2                                     |       1
.   2 |    3,  4                                 |       2
.   3 |    4,  5,  6                             |       3
.   4 |    5,  6,  7,  8                         |       4
.   5 |    6,  7,  8,  9, 10                     |       5
.   6 |    7,  8,  9, 10, 11, 12                 |       6
.   7 |    8,  9, 10, 11, 12, 13, 14             |       7
.   8 |    9, 10, 11, 12, 13, 14, 15, 16         |       8
.   9 |   10, 11, 12, 13, 14, 15, 16, 17, 18     |       9
.  10 |   11                                     |       1
.  11 |   12, 13                                 |       2
.  12 |   13, 14, 15                             |       3
.  13 |   14, 15, 16, 17                         |       4
.  14 |   15, 16, 17, 18, 19                     |       5
.  15 |   16, 17, 18, 19, 20, 21                 |       6
.  16 |   17, 18, 19, 20, 21, 22, 23             |       7
.  17 |   18, 19, 20, 21, 22, 23, 24, 25         |       8
.  18 |   19, 20, 21, 22, 23, 24, 25, 26, 27     |       9
.  19 |   20, 21, 22, 23, 24, 25, 26, 27, 28, 29 |      10
.  20 |   21, 22                                 |       2
		

Links

• Reinhard Zumkeller, Rows n = 1..1000 of triangle, flattened

Crossrefs

Cf. A007953 (row lengths), A062028, A108872.

Programs

Haskell

a248110 n k = a248110_tabf !! (n-1) !! (k-1)
a248110_row n = a248110_tabf !! (n-1)
a248110_tabf = map (\x -> [x + 1 .. x + a007953 x]) [1 ..]