login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A154329 Indices n where self-describing sequence A154328 has jumps, A154328(n) > A154328(n-1)+1. 2
2, 5, 6, 8, 9, 26, 27, 28, 71, 72, 73, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The next term is of order 10^17, since the next constraint is A154328(27) = 10^19 = sum of the first 10^19 digits of A154328. Even if from term 500 on there were 30 digits "9" in each term, their sum would stay below 10^19 for more than 3*10^16 terms. But at index 498+10^12, the value of 10^31 is reached and among the next 10^17 terms, about half of the digits will be zero.

LINKS

Table of n, a(n) for n=1..23.

EXAMPLE

a(1)=2 since the first jump of A154328 occurs at index 2, where the value raises to A154328[2]=10 > A154328[1]+1=2.

a(2)=5 since the 2nd jump of A154328 occurs at index 5, where the value raises to A154328[5]=20 > A154328[4]+1=13.

PROG

(PARI) A154328={concat([[1, 10, 11, 12, 20, 111, 112, 120], vector(16+1, i, -1+1000+i), 10000, 10^19, vector(42+1, i, -1+10^19+10^11*8+i), 10^19+4*10^18-1, 10^20-10^11+(10^11-1)/9, vector(413+1, i, -1+(10^21-10^16)/9+i), (10^21-10^16)/9+3*10^15-1, vector(10, i, 10^(20+i)-1), 10^31-10^12 /* +i=0..10^17 */])};

for( i=2, #A154328, A154328[i] > A154328[i-1]+1 & print1(i", "))

CROSSREFS

A154330(n) = A154328(a(n)).

Sequence in context: A323112 A176114 A057915 * A176590 A253061 A320730

Adjacent sequences:  A154326 A154327 A154328 * A154330 A154331 A154332

KEYWORD

base,nonn

AUTHOR

M. F. Hasler, Jan 13 2009

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 17 06:06 EDT 2019. Contains 324183 sequences. (Running on oeis4.)