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A349551 Rectangular array with ten rows, read by falling antidiagonals: row k gives positions of k in the decimal expansion (A000796) of Pi. 2
33, 51, 2, 55, 4, 7, 66, 38, 17, 1, 72, 41, 22, 10, 3, 78, 50, 29, 16, 20, 5, 86, 69, 34, 18, 24, 9, 8, 98, 95, 54, 25, 37, 11, 21, 14, 107, 96, 64, 26, 58, 32, 23, 30, 12, 117, 104, 74, 28, 60, 49, 42, 40, 19, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Every positive integer occurs exactly once.
It is assumed that each digit occurs infinitely many times in A000796.
LINKS
EXAMPLE
(Base-10 digits of Pi) = (3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, ...); the position of the first 0 is 33, so the first term in row 0 is 33.
Corner:
33, 51, 55, 66, 72, 78, 86, 98, 107, 117, 122, ... A014976
2, 4, 38, 41, 50, 69, 95, 96, 104, 111, 139, ... A053745
7, 17, 22, 29, 34, 54, 64, 74, 77, 84, 90, ... A053746
1, 10, 16, 18, 25, 26, 28, 44, 47, 65, 87, ... A053747
3, 20, 24, 37, 58, 60, 61, 71, 88, 93, 105, ... A053748
5, 9, 11, 32, 49, 52, 62, 91, 110, 131, 132, ... A053749
8, 21, 23, 42, 70, 73, 76, 83, 99, 109, 118, ... A053750
14, 30, 40, 48, 57, 67, 97, 100, 121, 140, 157, ... A053751
12, 19, 27, 35, 36, 53, 68, 75, 79, 82, 85, ... A053752
6, 13, 15, 31, 39, 43, 45, 46, 56, 59, 63, ... A053753
MATHEMATICA
r = RealDigits[Pi, 10, 200][[1]]
t = Table[Flatten[Position[r, n]], {n, 0, 9}]
TableForm[t] (* A349551 array *)
Flatten[Table[t[[n - k + 1, k]], {n, 10}, {k, n, 1, -1}]] (* A349551 sequence *)
CROSSREFS
Cf. A000796, A014976, A053745-A053753, A032445 (includes column 1).
Sequence in context: A020293 A226698 A096278 * A204381 A034815 A014976
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Dec 17 2021
STATUS
approved

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Last modified July 21 13:28 EDT 2024. Contains 374474 sequences. (Running on oeis4.)