id:A096601 - OEIS Search Results

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Triangle (read by rows) where the number of row entries increases by steps of 2 and the entries are stacked in a rectangular fashion. The end entries are set to 1. Rest of entries are set to the sum of the entry directly above in the previous row plus the entry (if present) in the previous row that is either to the left (if the current row number is even) or to the right (if odd).

+0
1

1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 3, 4, 3, 2, 1, 1, 2, 4, 7, 7, 5, 3, 1, 1, 1, 1, 3, 6, 11, 14, 12, 8, 4, 2, 1, 1, 2, 4, 9, 17, 25, 26, 20, 12, 6, 3, 1, 1, 1, 1, 3, 6, 13, 26, 42, 51, 46, 32, 18, 9, 4, 2, 1, 1, 2, 4, 9, 19, 39, 68, 93, 97, 78, 50, 27, 13, 6, 3, 1, 1 (list; graph; listen)

	OFFSET	`1,6`
	COMMENT	`The row sums are 2^n-1 (A000225). Shares many entries with A027926., e.g. the 'central column' (and greatest numbers in the rows) is A027988 (Greatest number in row n of array T given by A027926.)`
	EXAMPLE	`........................1........................` `.....................1..1..1.....................` `..................1..2..2..1..1..................` `...............1..1..3..4..3..2..1...............` `............1..2..4..7..7..5..3..1..1............` `.........1..1..3..6.11.14.12..8..4..2..1.........` `......1..2..4..9.17.25.26.20.12..6..3..1..1......` `...1..1..3..6.13.26.42.51.46.32.18..9..4..2..1...` `1..2..4..9.19.39.68.93.97.78.50.27.13..6..3..1..1`
	CROSSREFS	`Cf. A000225 A027926.` `Sequence in context: A175025 A076899 A152905 this_sequence A078077 A078082 A079674` `Adjacent sequences: A096598 A096599 A096600 this_sequence A096602 A096603 A096604`
	KEYWORD	`nonn,tabf`
	AUTHOR	`Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 14 2004`

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.

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