cp's OEIS Frontend

A199335 Triangle T(n,k), read by rows, given by (0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...), where DELTA is the operator defined in A084938.

%I A199335 #17 Apr 21 2015 01:05:03
%S A199335 1,0,2,0,2,4,0,2,14,8,0,2,36,66,16,0,2,82,342,262,32,0,2,176,1436,
%T A199335 2416,946,64,0,2,366,5364,16844,14394,3222,128,0,2,748,18654,99560,
%U A199335 156190,76908,10562,256
%N A199335 Triangle T(n,k), read by rows, given by (0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...), where DELTA is the operator defined in A084938.
%C A199335 Following an observation by _Dale Gerdemann_, it appears that T(n,k) = A120434(n+1,n-k) for n>=1, k>=1. - _M. F. Hasler_, Apr 18 2015
%C A199335 See also A144696. - _Antti Karttunen_, Apr 21 2015
%F A199335 Sum_k{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A000142(n+1), A162509(n+1) for x=0,1,2 respectively.
%F A199335 Sum_{k, 0<=k<=n} T(n,k)^2^(n-k) = A005649(n).
%e A199335 Triangle begins :
%e A199335 1
%e A199335 0, 2
%e A199335 0, 2, 4
%e A199335 0, 2, 14, 8
%e A199335 0, 2, 36, 66, 16
%e A199335 0, 2, 82, 342, 262, 32
%e A199335 0, 2, 176, 1436, 2416, 946, 64
%Y A199335 Cf. A120434, A084938, A005649, A144696.
%K A199335 nonn,tabl
%O A199335 0,3
%A A199335 _Philippe Deléham_, Nov 05 2011
%E A199335 Typo in 8th row corrected by _Olivier Gérard_, Oct 29 2012