login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A240857 Triangle read by rows: T(0,0) = 0; T(n+1,k) = T(n,k+1), 0 <= k < n; T(n+1,n) = T(n,0); T(n+1,n+1) = T(n,0)+1. 7
0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 3, 1, 1, 2, 1, 2, 2, 3, 0, 1, 1, 2, 1, 2, 2, 3, 0, 1, 1, 2, 2, 1, 2, 2, 3, 0, 1, 1, 2, 1, 2, 1, 2, 2, 3, 0, 1, 1, 2, 1, 2, 2, 3, 2, 2, 3, 0, 1, 1, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,10

COMMENTS

Let h be the initial term of row n, to get row n+1, remove h and then append h and h+1;

For n > 0: T(n,A035327(n)) = 0.

LINKS

Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened

FORMULA

T(n,k) = A048881(n+k), 0 <= k <= n.

EXAMPLE

.   0:                                 0

.   1:                               0   1

.   2:                             1   0   1

.   3:                           0   1   1   2

.   4:                         1   1   2   0   1

.   5:                       1   2   0   1   1   2

.   6:                     2   0   1   1   2   1   2

.   7:                   0   1   1   2   1   2   2   3

.   8:                 1   1   2   1   2   2   3   0   1

.   9:               1   2   1   2   2   3   0   1   1   2

.  10:             2   1   2   2   3   0   1   1   2   1   2

.  11:           1   2   2   3   0   1   1   2   1   2   2   3

.  12:         2   2   3   0   1   1   2   1   2   2   3   1   2

.  13:       2   3   0   1   1   2   1   2   2   3   1   2   2   3

.  14:     3   0   1   1   2   1   2   2   3   1   2   2   3   2   3

.  15:   0   1   1   2   1   2   2   3   1   2   2   3   2   3   3   4 .

PROG

(Haskell)

a240857 n k = a240857_tabl !! n !! k

a240857_row n = a240857_tabl !! n

a240857_tabl = iterate (\(x:xs) -> xs ++ [x, x + 1]) [0]

CROSSREFS

Cf. A048881 (left edge), A000120 (right edge), A000788 (row sums), A000523 (row maxima), A240883 (central terms).

Sequence in context: A099917 A137412 A025925 * A109066 A079066 A157188

Adjacent sequences:  A240854 A240855 A240856 * A240858 A240859 A240860

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Apr 14 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 15 07:26 EDT 2018. Contains 313756 sequences. (Running on oeis4.)