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Search: id:A165293
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| 1, 10, -1, 100, -20, 1, 1000, -300, 30, -1, 10000, -4000, 600, -40, 1, 100000, -50000, 10000, -1000, 50, -1, 1000000, -600000, 150000, -20000, 1500, -60, 1, 10000000, -7000000, 2100000, -350000, 35000, -2100, 70
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OFFSET
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1,2
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COMMENT
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Rows sum up to A001019 (powers of 9),diagonals to A004189, a generalization of A010892 (the inverse Fibonacci).Ratio of diagonal sums converges to a decimal sequence: A000108 (Catalan numbers), which is the squared difference of sqrt(2) and sqrt(3), or 5-sqrt(24). Ratio between first binomial transform (A054320 and A138288)of A004189, converges to sqrt(2/3).1/(2*sqrt(24)gives A000984 (central binomial coefficients)as a decimal sequence.
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EXAMPLE
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Triangle begins:
1
10,-1
100,-20,1
1000,-300,30,-1
10000,-4000,600,-40,1
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CROSSREFS
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Cf. A007318, A130595, A038303, A004189, A010892, A001079, A054320, A138288, A041041, A000108
Sequence in context: A009227 A030526 A164881 this_sequence A038303 A075505 A130310
Adjacent sequences: A165290 A165291 A165292 this_sequence A165294 A165295 A165296
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KEYWORD
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tabl,sign
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AUTHOR
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M. Dols (markdols99(AT)yahoo.com), Sep 13 2009
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