id:A133610 - OEIS Search Results

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Partial sums of pyramidal sequence A053616.

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0, 0, 1, 1, 2, 3, 3, 4, 6, 7, 7, 8, 10, 12, 13, 13, 14, 16, 19, 21, 22, 22, 23, 25, 28, 31, 33, 34, 34, 35, 37, 40, 44, 4749, 50, 50, 51, 53, 60, 64, 68, 71, 73, 74, 74, 75, 77, 80, 84, 89, 93, 97, 100, 102, 103, 103, 104, 106, 109, 113, 118, 123, 127, 130, 132, 133, 133134 (list; graph; listen)

	OFFSET	`0,5`
	FORMULA	`a(n) = SUM[i=0..n] distance from i to nearest triangular number = SUM[i=0..n]MIN{\|i - (k*(k+1)/2)\|} = SUM[i=0..n] MIN{\|A000217(i) - i\|}.`
	CROSSREFS	`Cf. 000217, A002262, A053188, A053616.` `Sequence in context: A023158 A120882 A102187 this_sequence A029033 A041003 A067592` `Adjacent sequences: A133607 A133608 A133609 this_sequence A133611 A133612 A133613`
	KEYWORD	`easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 28 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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