A099203 Integers divisible by 7 which are sequentially obtained from the decimal expansion of sqrt(2) = 1.4142135...

14, 14, 21, 35, 623, 7, 30950488016, 88724209, 6980785, 69671, 875, 37694807317667973799073247846210703885038753432, 7, 641572735013, 84, 623, 0, 91, 229702492483605585073, 7, 21, 264412149709993583141322266592, 7, 50559275579995, 0, 50115278206, 0, 571470109

Offset

1,1

Links

Andrew Howroyd, Table of n, a(n) for n = 1..10000

Example

a(3)=21 because it is the first integer divisible by 7 which is obtained from the beginning of the unused part of the decimal expansion of square root 2.

Prog

(PARI)
SeqDigits(v, pred)={my(L=List(), k=1); for(i=1, #v, my(t=fromdigits(v[k..i])); if(pred(t), listput(L, t); k=i+1)); Vec(L)}
{ my(N=250); SeqDigits(digits(sqrtint(2*10^(2*N))), t->t%7==0) } \\ Andrew Howroyd, Nov 06 2019

Crossrefs

Cf. A002193, A099205.

Sequence in context: A157427 A003905 A205702 * A040183 A022348 A214463

Adjacent sequences: A099200 A099201 A099202 * A099204 A099205 A099206

Keyword

nonn,base,less

Author

Serhat Sevki Dincer (mesti_mudam(AT)yahoo.com), Oct 04 2004

Extensions

Terms a(9) and beyond from Andrew Howroyd, Nov 06 2019

Status

approved