id:A128440 - OEIS Search Results

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Array T by antidiagonals: T(n,k)=Floor(k*t^n) where t=golden ratio=(1+sqrt(5))/2.

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1, 3, 2, 4, 5, 4, 6, 7, 8, 6, 8, 10, 12, 13, 11, 9, 13, 16, 20, 22, 17, 11, 15, 21, 27, 33, 35, 29, 12, 18, 25, 34, 44, 53, 58, 46, 14, 20, 29, 41, 55, 71, 87, 93, 76, 16, 23, 33, 47, 66, 89, 116, 140, 152, 122, 17, 26, 38, 54, 77, 107, 145, 187, 228, 245, 199, 19, 28, 42, 61 (list; table; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Row 1 = Lower Wythoff sequence = A000201; Row 2 = Upper Wythoff sequence = A001950; Column 1 = A014217 (after 1st term); T(n,n) = A128440(n). Every positive integer occurs exactly once in the first two rows.`
	FORMULA	`a(n)=kF(n-1)+Floor(kt*F(n)), where F=A000045, the Fibonacci numbers.`
	EXAMPLE	`Northwest corner:` `1 3 4 6 8 9` `2 5 7 10 13 15` `4 8 12 16 21 25` `6 13 20 27 34 41`
	CROSSREFS	`Cf. A000045, A000201, A001950, A128439.` `Sequence in context: A021759 A070221 A020814 this_sequence A063201 A039858 A035558` `Adjacent sequences: A128437 A128438 A128439 this_sequence A128441 A128442 A128443`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu), Mar 03 2007`

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.

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