cp's OEIS Frontend

A244155 Numbers n such that when the n-th Catalan restricted growth string [b_k, b_{k-1}, ..., b_2, b_1] (see A239903) is viewed as a simple numeral in Catalan Base: b_k*C(k) + b_{k-1}*C(k-1) + ... + b_2*C(2) + b_1*C(1) it is equal to n. Here C(m) = A000108(m).

%I A244155 #12 Jun 26 2014 18:48:09
%S A244155 0,1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,42,43,44,45,46,47,
%T A244155 48,49,50,51,56,57,58,59,60,61,62,63,64,65,132,133,134,135,136,137,
%U A244155 138,139,140,141,146,147,148,149,150,151,152,153,154,155,174,175
%N A244155 Numbers n such that when the n-th Catalan restricted growth string [b_k, b_{k-1}, ..., b_2, b_1] (see A239903) is viewed as a simple numeral in Catalan Base: b_k*C(k) + b_{k-1}*C(k-1) + ... + b_2*C(2) + b_1*C(1) it is equal to n. Here C(m) = A000108(m).
%C A244155 In range 0 .. 58784, these are numbers k such that A244158(A239903(n)) = k. (see comments at A244157).
%H A244155 Antti Karttunen, <a href="/A244155/b244155.txt">Table of n, a(n) for n = 0..1279</a>
%o A244155 (Scheme, with _Antti Karttunen_'s IntSeq-library)
%o A244155 (define A244155 (FIXED-POINTS 0 0 (COMPOSE CatBaseSum A239903raw))) ;; A239903raw given in A239903.
%o A244155 (define (CatBaseSum lista) (let loop ((digits (reverse lista)) (i 1) (s 0)) (if (null? digits) s (loop (cdr digits) (+ i 1) (+ s (* (car digits) (A000108 i)))))))
%Y A244155 Complement of A244156. Positions of zeros in A244157.
%Y A244155 A197433 is a subsequence.
%Y A244155 Cf. A000108, A239903, A014418, A244158.
%K A244155 nonn
%O A244155 0,3
%A A244155 _Antti Karttunen_, Jun 22 2014