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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
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 .
MATHEMATICA
T[n_, k_] := DigitCount[n + k + 1, 2, 1] - 1; Table[T[n, k], {n, 0, 12}, {k, 0, n}] // Flatten (* Amiram Eldar, Aug 01 2023 *)
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: A137412 A355913 A025925 * A109066 A079066 A157188
KEYWORD
nonn,tabl
AUTHOR
Reinhard Zumkeller, Apr 14 2014
STATUS
approved

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Last modified March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)