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Search: id:A096044
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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
(list; table; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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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
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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); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009]
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CROSSREFS
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Cf. A007318. First column gives A000042. Row sums give A016135.
Sequence in context: A110767 A089365 A130217 this_sequence A160464 A038316 A139311
Adjacent sequences: A096041 A096042 A096043 this_sequence A096045 A096046 A096047
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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EXTENSIONS
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Edited with more terms and Maple program by Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 07 2009
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