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A096044
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Triangle read by rows: T(n,k) = (n+1,k)-th element of (M^10-M)/9, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n.
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1
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1, 11, 2, 111, 33, 3, 1111, 444, 66, 4, 11111, 5555, 1110, 110, 5, 111111, 66666, 16665, 2220, 165, 6, 1111111, 777777, 233331, 38885, 3885, 231, 7, 11111111, 8888888, 3111108, 622216, 77770, 6216, 308, 8, 111111111, 99999999, 39999996, 9333324, 1399986, 139986, 9324, 396, 9
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Alois P. Heinz, Rows n = 1..141, flattened
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EXAMPLE
| Triangle begins:
1;
11, 2;
111, 33, 3;
1111, 444, 66, 4;
11111, 5555, 1110, 110, 5;
111111, 66666, 16665, 2220, 165, 6;
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MAPLE
| P:= proc(n) option remember; local M; M:= Matrix (n, (i, j)-> binomial (i-1, j-1)); (M^10-M)/9 end: T:= (n, k)-> P(n+1) [n+1, k]: seq (seq (T (n, k), k=1..n), n=1..11); # Alois P. Heinz, Oct 07 2009
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CROSSREFS
| Cf. A007318. First column gives A000042. Row sums give A016135.
Cf. A096034, A096035, A096039, A096040, A096041, A096042, A096043.
Sequence in context: A110767 A089365 A130217 * A160464 A038316 A139311
Adjacent sequences: A096041 A096042 A096043 * A096045 A096046 A096047
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KEYWORD
| nonn,tabl
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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EXTENSIONS
| Edited with more terms and Maple program by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009
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