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A137299 Square matrix read by anti-diagonals: T(m,n) = m-th term in the continued fraction expansion of pi^n. +0
2
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)
OFFSET

1,1

COMMENT

The sequence was suggested by Leroy Quet.

LINKS

J. S. Markovitch, Coincidence, data compression and Mach's concept of "economy of thought"

EXAMPLE

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]

PROGRAM

(PARI) concat(vector(20, i, vector(i, j, contfrac(Pi^(i-j+1))[j])))

(PARI) T(m, n)=contfrac(Pi^n)[m]

CROSSREFS

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

KEYWORD

nonn,easy,tabl

AUTHOR

M. F. Hasler (MHasler(AT)univ-ag.fr), Mar 14 2008

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Last modified May 13 01:46 EDT 2008. Contains 139661 sequences.


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