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 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. 2
 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, 2416, 946, 64, 0, 2, 366, 5364, 16844, 14394, 3222, 128, 0, 2, 748, 18654, 99560, 156190, 76908, 10562, 256 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS 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 See also A144696. - Antti Karttunen, Apr 21 2015 LINKS Table of n, a(n) for n=0..44. FORMULA 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. Sum_{k, 0<=k<=n} T(n,k)^2^(n-k) = A005649(n). EXAMPLE Triangle begins : 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, 2416, 946, 64 CROSSREFS Cf. A120434, A084938, A005649, A144696. Sequence in context: A209691 A221683 A332760 * A141660 A368500 A209699 Adjacent sequences: A199332 A199333 A199334 * A199336 A199337 A199338 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Nov 05 2011 EXTENSIONS Typo in 8th row corrected by Olivier Gérard, Oct 29 2012 STATUS approved

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Last modified July 19 00:30 EDT 2024. Contains 374388 sequences. (Running on oeis4.)