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A256521 Table T(n, k) of positions p[i] where number n occurs after the decimal point in the decimal expansion of Pi, read by antidiagonals. 1
32, 50, 1, 54, 3, 6, 65, 37, 16, 9, 71, 40, 21, 15, 2, 77, 49, 28, 17, 19, 4, 85, 68, 33, 24, 23, 8, 7, 97, 94, 53, 25, 36, 10, 20, 13, 106, 95, 63, 27, 57, 31, 22, 29, 11, 116, 103, 73, 43, 59, 48, 41, 39, 18, 5, 121, 110, 76, 46, 60, 51, 69, 47, 26, 12, 49, 128, 138, 83, 64, 70, 61, 72, 56, 34, 14, 163, 94 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Table T(n, k) starts:

n =  0: 32,  50,  54,  65,  71,  77,  85,  97, 106, 116, ...

n =  1:  1,   3,  37,  40,  49,  68,  94,  95, 103, 110, ...

n =  2:  6,  16,  21,  28,  33,  53,  63,  73,  76,  83, ...

n =  3:  9,  15,  17,  24,  25,  27,  43,  46,  64,  86, ...

n =  4:  2,  19,  23,  36,  57,  59,  60,  70,  87,  92, ...

n =  5:  4,   8,  10,  31,  48,  51,  61,  90, 109, 130, ...

n =  6:  7,  20,  22,  41,  69,  72,  75,  82,  98, 108, ...

n =  7: 13,  29,  39,  47,  56,  66,  96,  99, 120, 139, ...

n =  8: 11,  18,  26,  34,  35,  52,  67,  74,  78,  81, ...

n =  9:  5,  12,  14,  30,  38,  42,  44,  45,  55,  58, ...

n = 10: 49, 163, 175, 206, 269, 442, 681, 780, 852, 854, ...

...

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 0..1000

D. G. Andersen, The Pi-Search Page

EXAMPLE

T(6, 4) = 41, since the fourth occurrence of 6 in the decimal expansion of Pi is at position 41.

MATHEMATICA

spi = StringDrop[ ToString[ N[ Pi, 1000]], 2]; t[n_, k_] := StringPosition[ spi, ToString[n], k][[-1, 1]]; Table[ t[n - k, k], {n, 0, 12}, {k, n, 1, -1}] // Flatten (* Robert G. Wilson v, Apr 07 2015 *)

CROSSREFS

Cf. A000796 (Pi), A014777 (first column).

Cf. A037008, A037000, A037001, A037002, A037003 (0th to 4th row).

Cf. A037004, A037005, A036974, A037006, A037007 (5th to 9th row).

Sequence in context: A066472 A140172 A259765 * A037008 A316943 A099048

Adjacent sequences:  A256518 A256519 A256520 * A256522 A256523 A256524

KEYWORD

nonn,base,tabl

AUTHOR

Felix Fröhlich, Apr 01 2015

EXTENSIONS

More terms from Robert G. Wilson v, Apr 07 2015

STATUS

approved

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Last modified August 19 18:51 EDT 2019. Contains 326133 sequences. (Running on oeis4.)