id:A028307 - OEIS Search Results

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Form a triangle with n numbers in top row; all other numbers are the sum of their parents. E.g.: 4 1 2 7; 5 3 9; 8 12; 20. The numbers must be positive and distinct and the final number is to be minimized. Sequence gives final number.

+0
4

1, 3, 8, 20, 43, 98, 212, 465, 1000, 2144, 4497, 9504, 19872, 41455, 85356, 178630, 363467, 757085, 1541998, 3183600, 6515066, 13357593, 27432649, 55914902, 114683858, 233517515, 478061719, 972479046, 1986013932 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Suggested by Problem 401 of the All-Soviet-Union Mathematical Competitions 1961-1986. Two different links are available for this collection.`
	LINKS	`Mauro Fiorentini, Further comments` `Vladimir A. Pertsel (voldemar(AT)wiscon.weizmann.ac.il), Problems of the All-Soviet-Union Mathematical Competitions 1961-1986`
	EXAMPLE	`Solutions for n=1,2,... are 1; 1 2; 2 1 4; 4 1 2 7; 7 2 1 4 6; 8 6 1 3 2 10...`
	CROSSREFS	`Sequence in context: A143785 A135565 A139488 this_sequence A027298 A000236 A109327` `Adjacent sequences: A028304 A028305 A028306 this_sequence A028308 A028309 A028310`
	KEYWORD	`nonn,nice`
	AUTHOR	`Mauro Fiorentini (mfiorentini(AT)etnoteam.it)`
	EXTENSIONS	`More terms from the author, Jul 03, 2001`

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Last modified December 9 14:43 EST 2009. Contains 170430 sequences.

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