The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A096884 a(n) = 101^n. 6
 1, 101, 10201, 1030301, 104060401, 10510100501, 1061520150601, 107213535210701, 10828567056280801, 1093685272684360901, 110462212541120451001, 11156683466653165551101 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS A185817(n) = smallest m such that in decimal representation n is a prefix of a(m). a(n) gives the n-th row of Pascals' triangle (A007318) as long as all the binomial coefficients have at most two digits, otherwise the binomial coefficients with more than two digits overlap. - Daniel Forgues, Aug 12 2012 From Peter M. Chema, Apr 10 2016: (Start) One percent growth applied n times increases a value by factor of a(n)/10^(2n), since 1% increases using "1.01".  Therefore (a(n)/10^(2n) - 1)*100 = the percentage increase of one percent growth applied n times. For instance, 432 increasing by 1% three times gives 445.090032 (i.e., 432*1.01^3), which is 1.030301 ((a(3)/10^(2*3)) times 432 or a 3.0301% increase from the original 432 ((a(3)/10^(2*3)-1)*100 = 3.0301). (End) LINKS Tanya Khovanova, Recursive Sequences Index entries for linear recurrences with constant coefficients, signature (101). FORMULA a(n) = Sum_{k=0..n} binomial(n, k)*10^(n-k). a(n) = A096883(2n). a(n) = 101^n. a(n) = Sum_{k=0..n,} binomial(n, k)*100^k. - Paul Barry, Aug 24 2004 G.f.: 1/(1-101*x). - Philippe Deléham, Nov 25 2008 E.g.f.: exp(101*x). - Ilya Gutkovskiy, Apr 10 2016 MATHEMATICA Table[101^n, {n, 0, 11}] \\ Ilya Gutkovskiy, Apr 10 2016 PROG (PARI) a(n)=101^n \\ Charles R Greathouse IV, Oct 16 2015 (PARI) x='x+O('x^99); Vec(1/(1-101*x)) \\ Altug Alkan, Apr 10 2016 CROSSREFS Cf. A007318, A003590, A001020, A097659. Sequence in context: A135375 A267622 A172162 * A055474 A071783 A082808 Adjacent sequences:  A096881 A096882 A096883 * A096885 A096886 A096887 KEYWORD easy,nonn AUTHOR Paul Barry, Jul 14 2004 STATUS approved

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

Last modified September 25 09:46 EDT 2022. Contains 356977 sequences. (Running on oeis4.)