This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A107946 Start with S(0)={1}, then S(k+1) equals the concatenation of S(k) with the partial sums of S(k); the limit gives this sequence. 7
 1, 1, 1, 2, 1, 2, 3, 5, 1, 2, 3, 5, 6, 8, 11, 16, 1, 2, 3, 5, 6, 8, 11, 16, 17, 19, 22, 27, 33, 41, 52, 68, 1, 2, 3, 5, 6, 8, 11, 16, 17, 19, 22, 27, 33, 41, 52, 68, 69, 71, 74, 79, 85, 93, 104, 120, 137, 156, 178, 205, 238, 279, 331, 399, 1, 2, 3, 5, 6, 8, 11, 16, 17, 19, 22, 27, 33 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS The partial sums is A107947. Terms at positions 2^k forms A107948. LINKS Ivan Neretin, Table of n, a(n) for n = 1..8192 EXAMPLE Concatenate the initial 2^3 terms: {1,1,1,2,1,2,3,5} to the partial sums {1,2,3,5,6,8,11,16} to obtain the initial 2^4 terms: {1,1,1,2,1,2,3,5, 1,2,3,5,6,8,11,16}. MATHEMATICA Nest[Join[#, Accumulate@#] &, {1}, 7] (* Ivan Neretin, Jan 31 2018 *) PROG (PARI) {a(n)=local(A=[1, 1], B=[1]); for(i=1, #binary(n)-1, B=concat(B, vector(#B, k, polcoeff(Ser(A)/(1-x), #B+k-1))); A=concat(A, B); ); A[n]} CROSSREFS Cf. A107947, A107948. Sequence in context: A081664 A224926 A117673 * A054502 A059346 A259439 Adjacent sequences:  A107943 A107944 A107945 * A107947 A107948 A107949 KEYWORD nonn,look AUTHOR Paul D. Hanna, May 28 2005 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.

Last modified December 14 19:27 EST 2019. Contains 329987 sequences. (Running on oeis4.)