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.

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A102843 TrueSoFar terminating terms in other bases.

Original entry on oeis.org

30, 43, 70, 291, 1141, 2193, 3475, 12628, 8945, 15404, 62785, 29618, 91533, 95161, 375041, 73533, 869960, 329955, 1119201, 172167, 2190654, 252598, 2712385, 352813, 5085549, 6174631, 6217121, 3241215, 10329301, 935964, 15084677
Offset: 2

Views

Author

Patrick Hamlyn (pathATmultipro.com.au) Feb 28 2005

Keywords

Comments

Suggested by Art Neuendorffer - These are the decimal representations of the stopping terms of the 'Truesofar' sequence in bases 2, 3, 4... Sequence is infinite. Related sequence A104285, number of terms in TrueSoFar sequence in other bases.

Examples

			For example, base 2 terminating term is 11110, which is 30 in decimal.
		

Crossrefs

A102844 TrueSoFar number of terms in other bases.

Original entry on oeis.org

8, 10, 22, 61, 248, 495, 750, 1940, 2024, 3544, 7620, 6592, 12081, 14278, 38538, 16621, 103175, 38358, 93821, 38831, 277912, 57816, 212504, 81143, 571201, 842925, 542415, 238344, 1159656, 202396, 1781333, 680042, 2314517, 315447
Offset: 2

Views

Author

Patrick Hamlyn (pathATmultipro.com.au) Feb 28 2005

Keywords

Comments

Suggested by Art Neuendorffer - These are the number of terms in the 'Truesofar' sequences in bases 2, 3, 4... Sequence is infinite. Spike at base 103: 28367445298 terms. Related sequence A104284, Terminating term in TrueSoFar sequence in other bases.

Examples

			For example, base 2 number of terms is 8, base 10 number of terms is 2024
		

Crossrefs

Extensions

Edited by Charles R Greathouse IV, Oct 28 2009

A109336 "Que sera, sera" sequence: self-describing sequence where a(n) gives the number of n+1's which will be concatenated to form a(n+1); starting with a(1) = 1.

Original entry on oeis.org

1, 2, 33, 444444444444444444444444444444444
Offset: 1

Views

Author

Alexandre Wajnberg, Aug 23 2005

Keywords

Examples

			a(1) says: there will be one 2 in a(2).
a(2)=2 because a(1) said so; and a(2)=2 says: there will be two 3's in a(3).
a(3)=33 because a(2) said so; and also a(3) says: there will be thirty three 4's in a(4).
Therefore a(4)= 444444444444444444444444444444444 (33 times the digit 4).
And a(5)= 555555555555555...555 (with 444444444444444444444444444444444 5's).
		

Crossrefs

Formula

a(1) = 1. For n > 1, let k = floor(1+log_10(n)); then a(n) = n*(10^(k*a(n-1))-1)/(10^k-1).

Extensions

Formula corrected to handle n>9 also by Rick L. Shepherd, Mar 22 2009
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