cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A322412 Compound tribonacci sequence with a(n) = A278041(A278040(n)), for n >= 0.

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%I A322412 #17 Aug 24 2020 23:11:28
%S A322412 10,34,54,78,91,115,135,159,183,203,227,240,264,284,308,328,352,365,
%T A322412 389,409,433,457,477,501,514,538,558,582,595,619,639,663,687,707,731,
%U A322412 744,768,788,812,832,856,869,893,913,937,961,981,1005,1018,1042,1062,1086,1110,1130,1154,1167,1191,1211,1235
%N A322412 Compound tribonacci sequence with a(n) = A278041(A278040(n)), for n >= 0.
%C A322412 (a(n+1)) = A319971(n)-1 = A003146(A003145(n))-1, the corresponding classical compound tribonacci sequence. - _Michel Dekking_
%C A322412 The nine sequences A308199, A319967, A319968, A322410, A322409,  A322411,  A322413, A322412, A322414 are based on defining the tribonacci ternary word to start with index 0 (in contrast to the usual definition, in A080843 and A092782, which starts with index 1). As a result these nine sequences differ from the compound tribonacci sequences defined in  A278040, A278041, and A319966-A319972. - _N. J. A. Sloane_, Apr 05 2019
%F A322412 a(n) = C(A(n)) = C(A(n) + 1) - 6 = 4*A(n) + 3*B(n) + 2*(n+3). for n >= 0, where A = A278040, B = A278039 and C = A278041. For a proof see the W. Lang link in A278040, Proposition 9, eq. (54).
%Y A322412 Cf. A278040, A278041, A322411.
%K A322412 nonn,easy
%O A322412 0,1
%A A322412 _Wolfdieter Lang_, Jan 02 2019