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A137299 Square matrix read by antidiagonals: T(m,n) = m-th term in the continued fraction expansion of Pi^n. 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequence was suggested by Leroy Quet.

LINKS

Table of n, a(n) for n=1..78.

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]

PROG

(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, A001672, A138324.

Sequence in context: A220654 A302158 A337974 * A329238 A001226 A338402

Adjacent sequences:  A137296 A137297 A137298 * A137300 A137301 A137302

KEYWORD

nonn,easy,tabl

AUTHOR

M. F. Hasler, Mar 14 2008

STATUS

approved

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Last modified September 17 22:14 EDT 2021. Contains 347489 sequences. (Running on oeis4.)