A141397 - OEIS

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A141397

a(n) = 3*a(n-1) + A001651(n), where A001651 = numbers not multiples of 3: (1, 2, 4, 5, 7, 8, 10, 11, 13,...). Row sums of triangle A141396.

1, 5, 19, 62, 193, 587, 1771, 5324, 15985, 47969, 143923, 431786, 1295377, 3886151, 11658475 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (4,-2,-4,3)`
	FORMULA	`G.f. ( -1-x-x^2 ) / ( (1+x)(3x-1)(x-1)^2 ). a(n) = (-1)^n/16 -3n/4 -3/2 +13*3^(n+1)/16. - R. J. Mathar, Feb 16 2011`
	EXAMPLE	`a(2) = 19 = 3a(1) + A001651(n) = 35 + 4 where A001651(2) = 4.` `a(2) = 19 = sum of row 2 terms of triangle A141396: (4 + 6 + 9).`
	CROSSREFS	`Cf. A141396, A001651.` `Sequence in context: A189427 A072111 A173627 * A143131 A036677 A003296` `Adjacent sequences: A141394 A141395 A141396 * A141398 A141399 A141400`
	KEYWORD	`nonn`
	AUTHOR	`Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 29 2008`

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Last modified February 16 12:41 EST 2012. Contains 205909 sequences.