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Search: id:A137299
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| A137299 |
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Square matrix read by anti-diagonals: T(m,n) = m-th term in the continued fraction expansion of pi^n. |
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+0
2
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| 3, 9, 7, 31, 1, 15, 97, 159, 6, 1, 306, 2, 3, 1, 292, 961, 50, 2, 7, 2, 1, 3020, 2, 1, 3, 1, 47, 1, 9488, 3, 1, 4, 1, 13, 1, 1, 29809, 1, 2, 1, 60, 16539, 2, 8, 2, 93648, 10, 1, 2, 3, 1, 1, 1, 1, 1, 294204, 21, 14, 7, 3, 9, 4, 6, 3, 1, 3, 924269, 55, 15, 1, 1, 2, 1, 23, 7, 1, 2, 1
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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The sequence was suggested by Leroy Quet.
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LINKS
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J. S. Markovitch, Coincidence, data compression and Mach's concept of "economy of thought"
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EXAMPLE
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The matrix limited to order 10 is given by matrix(10,10,m,n,contfrac(Pi^n)[m]) :
[ 3 9 31 97 306 961 3020 9488 29809 93648]
[ 7 1 159 2 50 2 3 1 10 21]
[15 6 3 2 1 1 2 1 14 15]
[ 1 1 7 3 4 1 2 7 1 1]
[292 2 1 1 60 3 3 1 9 4]
[ 1 47 13 16539 1 9 2 1 3 2]
[ 1 1 2 1 4 1 10 3 1 1]
[ 1 8 1 6 23 5 4 1 5 3]
[ 2 1 3 7 1 1 1 1 8 2]
[ 1 1 1 6 2 3 1 1 16 1]
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PROGRAM
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(PARI) concat(vector(20, i, vector(i, j, contfrac(Pi^(i-j+1))[j])))
(PARI) T(m, n)=contfrac(Pi^n)[m]
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CROSSREFS
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Cf. A001203, A138324, A001672.
Adjacent sequences: A137296 A137297 A137298 this_sequence A137300 A137301 A137302
Sequence in context: A046261 A074806 A010634 this_sequence A001226 A093498 A021255
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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M. F. Hasler (MHasler(AT)univ-ag.fr), Mar 14 2008
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