cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A084072 Erroneous version of A049534.

Original entry on oeis.org

763, 24467, 193035, 222300, 244454
Offset: 1

Views

Author

Keywords

A084073 Starting index of a record-breaking string of consecutive equal digits in the decimal expansion of Pi.

Original entry on oeis.org

1, 25, 154, 763, 710101, 22931746, 24658602, 386980413
Offset: 1

Views

Author

Robert G. Wilson v, May 09 2003

Keywords

Comments

Digits 3,1,4,... are indexed 1,2,3,...,.

Examples

			The repeated digits are 3, 3, 1, 6, 3, 4, 7, ..., i.e., at position a(1) = 1, there is one '3', starting at position a(2) = 25, there are two '3's, from position a(3) = 154 on, there are three '1's, etc.
		

Crossrefs

Positions of records in A082586.
Records in A049522. See also A049523, A049534.

Extensions

Edited and a(10) from A049522 added by M. F. Hasler, Mar 21 2017

A284166 Starting position of strings of seven identical digits in the decimal expansion of Pi.

Original entry on oeis.org

710100, 1722776, 3204765, 3346228, 3389380, 3517236, 3775287, 3794572, 4313727, 4657555, 4722613, 5466169, 7820866, 8209165, 9325203, 10519242, 12469058, 13310436, 14233532, 14593770, 15256174, 17893953, 18216168, 18696860, 19175682, 19715001, 19921876, 20202676, 22931745, 22931746, 23189751, 23724968, 24658601, 24658602, 24658603
Offset: 1

Views

Author

M. F. Hasler, Mar 21 2017

Keywords

Comments

Digits 3, 1, 4, ... are indexed 0, 1, 2, ...

Examples

			From the 710100-th decimal on, there are 7 consecutive '3's in Pi's decimal expansion, and there is no earlier occurrence of 7 consecutive identical digits, therefore a(1) = 710100.
From the 1722776-th decimal digit on, there are 7 consecutive '9's in Pi's decimal expansion.
From the 3204765-th decimal digit on, there are again 7 consecutive '3's.
From the 3346228-th decimal digit on, there are 7 consecutive '7's.
Further terms correspond to seven '9's at 3389380, '5's at 3517236, '7's at 3775287, '0's at 3794572, '9's at 4313727, '1's at 4657555, '8's at 4722613, '9's at 5466169, '8's at 7820866, '6's at 8209165, '5's at 9325203 and at 10519242, '3's at 12469058, '0's at 13310436, '7's at 14233532, '9's at 14593770 and at 15256174, and finally seven '4's at 17893953 = A083619(1).
The first string of seven '2's does not appear until position 82599811 = A118079(1).
At position 22931745 there are 8 consecutive '4's, and therefore also 7 '4's starting at 22931746. Similarly, at position 24658601 there are 9 consecutive '7's, therefore the next two terms are 24658602, 24658603.
		

Crossrefs

Cf. A083601, A083605, A118079, A083614, A083619, A083624, A083629, A083635, A083641 and A083646: position of seven '0's, ..., '9's; the disjoint union of these yields this sequence.
Cf. A049534: position of six or more consecutive identical digits, 1-indexed: { a(n)+1 | a(n-1) < a(n)-1 } is a subsequence.

Formula

Showing 1-3 of 3 results.