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 A117918 Difference row triangle of the Pell sequence. 4
 1, 1, 2, 2, 3, 5, 2, 4, 7, 12, 4, 6, 10, 17, 29, 4, 8, 14, 24, 41, 70, 8, 12, 20, 34, 58, 99, 169, 8, 16, 28, 48, 82, 140, 239, 408, 16, 24, 40, 68, 116, 198, 338, 577, 985, 16, 32, 56, 96, 164, 280, 478, 816, 1393, 2378, 32, 48, 80, 136, 232, 396, 676, 1154, 1970, 3363, 5741 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Leftmost column (1, 1, 2, 2, 4, 4,...), (A016116); is the inverse binomial transform of the Pell sequence. REFERENCES Raymond Lebois, "Le theoreme de Pythagore et ses implications", p. 123, Editions PIM, (1979). LINKS FORMULA Difference rows of the Pell sequence A000129 starting (1, 2, 5, 12...) become the diagonals of the triangle A117918. EXAMPLE Right border = the Pell sequence. First difference row (1, 3, 7, 17, 41...) is the next diagonal. First few rows of the triangle are: 1; 1, 2; 2, 3, 5; 2, 4, 7, 12; 4, 6, 10, 17, 29; 4, 8, 14, 24, 41, 70; 8, 12, 20, 34, 58, 99, 169; ... CROSSREFS Cf. A000129, A016116. Sequence in context: A175908 A152430 A297495 * A302495 A185688 A203955 Adjacent sequences:  A117915 A117916 A117917 * A117919 A117920 A117921 KEYWORD nonn AUTHOR Gary W. Adamson, Apr 02 2006 STATUS approved

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Last modified October 19 22:55 EDT 2019. Contains 328244 sequences. (Running on oeis4.)