A138197 - OEIS

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A138197

Array read by antidiagonals: T(n,k) = T(n-1,k) + T(n,k+1) - T(n,k+2).

2, 3, 0, 5, 1, 0, 7, 1, -3, -2, 11, 5, -1, -5, -2, 13, 7, 1, -5, -5, 14, 17, 11, 5, -5, -21, -27, 24, 19, 13, 11, 11, 1, -37, -91, -54, 23, 13, 5, 5, 17, 27, -13, -153, -294, 29, 21, 11, -1, -9, 3, 49, 87, -57, -588, 31, 23, 17, 13, 5, -19, -51, -9, 237, 527, -156, 37, 27, 15, 7, 15, 35, 7, -159, -347, 95, 1871, 3212, 41, 35, 25, 5, -15 (list; table; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`Rule A096379 applied recursively.`
	LINKS	`Table of n, a(n) for n=1..83.`
	FORMULA	`T(0,k) = A000040(k), and T(n,k) = T(n-1,k) + T(n,k+1) - T(n,k+2).`
	EXAMPLE	`Top left corner of array:` `2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ... = A000040` `0, 1, 1, 5, 7, 11, 13, 13, 21, 23, ... = A096379` `0, -3, -1, 1, 5, 11, 5, 11, 17, 15, ...` `-2, -5, -5, -5, 11, 5, -1, 13, 7, 5, ...` `-2, -5, -21, 1, 17, -9, 5, 15, -15, -9, ...` `14, -27, -37, 27, 3, -19, 35, 9, -71, -5, ...` `24, -91, -13, 49, -51, 7, 115, -57, -167, 69, ...` `-54, -153, 87, -9, -159, 179, 225, -293, -217, 223, ...` `-294, -57, 237, -347, -205, 697, 149, -733, -59, 341, ...` `-588, 527, 95, -1249, 343, 1579, -525, -1133, 335, 271, ...` `-156, 1871, -1497, -2485, 2447, 2187, -1993, -1069, 643, 261, ...` `...`
	CROSSREFS	`Cf. A000040, A096379.` `Sequence in context: A070245 A243868 A066398 * A140664 A335940 A339767` `Adjacent sequences: A138194 A138195 A138196 * A138198 A138199 A138200`
	KEYWORD	`sign,tabl`
	AUTHOR	`Zak Seidov, Mar 05 2008`
	EXTENSIONS	`Typo corrected by Travis Hoppe, Apr 24 2008`
	STATUS	`approved`

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Last modified March 5 11:29 EST 2023. Contains 360902 sequences. (Running on oeis4.)