id:A062296 - OEIS Search Results

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Number of entries in n-th row of Pascal's triangle divisible by 3.

+0
2

0, 0, 0, 2, 1, 0, 4, 2, 0, 8, 7, 6, 9, 6, 3, 10, 5, 0, 16, 14, 12, 16, 11, 6, 16, 8, 0, 26, 25, 24, 27, 24, 21, 28, 23, 18, 33, 30, 27, 32, 25, 18, 31, 20, 9, 40, 35, 30, 37, 26, 15, 34, 17, 0, 52, 50, 48, 52, 47, 42, 52, 44, 36, 58, 53, 48, 55, 44, 33, 52, 35, 18, 64, 56, 48, 58, 41 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`a(n) + A006047(n) = n + 1 so a(n) = n + 1 - A006047(n)`
	EXAMPLE	`When n=3 the row is 1,3,3,1 so a(3) = 2.`
	MAPLE	`p:=proc(n) local ct, k: ct:=0: for k from 0 to n do if binomial(n, k) mod 3 = 0 then else ct:=ct+1 fi od: end: seq(n+1-p(n), n=0..83); (Deutsch)`
	CROSSREFS	`Cf. A006047.` `Sequence in context: A122792 A139136 A138002 this_sequence A140649 A091453 A062173` `Adjacent sequences: A062293 A062294 A062295 this_sequence A062297 A062298 A062299`
	KEYWORD	`nonn`
	AUTHOR	`Ahmed Fares (ahmedfares(AT)my-deja.com), Jul 02 2001`
	EXTENSIONS	`More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 03 2005`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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