The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A274192 Decimal expansion of limiting ratio described in Comments. 7
 1, 4, 8, 2, 1, 4, 6, 2, 2, 1, 0, 4, 5, 7, 9, 6, 4, 7, 3, 9, 5, 1, 0, 9, 4, 5, 0, 5, 0, 8, 9, 2, 9, 2, 1, 8, 8, 1, 0, 0, 7, 2, 2, 0, 9, 9, 2, 0, 0, 8, 2, 7, 9, 6, 3, 7, 8, 9, 8, 7, 8, 3, 7, 8, 8, 6, 2, 3, 2, 4, 8, 7, 2, 9, 2, 5, 0, 1, 6, 9, 3, 4, 8, 5, 8, 6 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS As in A274190, define g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,2k) for n > 0, k > 1.  The sum of numbers in the n-th row of the array {g(n,k)} is given by A274184; viz., this sum is also the number of numbers in the n-th row of the array in A274183. In other words, if we put h(0) = (0) and for n > 0 define h(n) inductively as the concatenation of h(n-1) and the numbers k/2 as k ranges through the even numbers k in h(n-1), and then let H(n) be the number of numbers in h(n), then H(n)/H(n-1) approaches 1.48214622... This constant appears on p. 439 of Tangora's paper cited in Links. LINKS M. C. Tangora, Level number sequences of trees and the lambda algebra, European J. Combinatorics 12 (1991), 433-443. EXAMPLE Limiting ratio = 1.48214622104579647395109450508929... MATHEMATICA z = 1500; g[n_, 0] = g[n, 0] = 1; g[n_, k_] := g[n, k] = If[k > n, 0, g[n - 1, k - 1] + g[n - 1, 2 k]]; t = Table[g[n, k], {n, 0, z}, {k, 0, n}]; w = Map[Total, t];   (* A274184 *) u = N[w[[z]]/w[[z - 1]], 100] RealDigits[u][[1]] (* A274192 *) CROSSREFS Cf. A274190, A274184, A274195, A274198, A274209 (reciprocal). Sequence in context: A331331 A134484 A244641 * A021958 A200412 A197483 Adjacent sequences:  A274189 A274190 A274191 * A274193 A274194 A274195 KEYWORD nonn,cons,easy AUTHOR Clark Kimberling, Jun 13 2016 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 August 10 11:12 EDT 2020. Contains 336379 sequences. (Running on oeis4.)