id:A073850 - OEIS Search Results

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Cumulative sum of initial digits of (n base 4).

+0
1

0, 1, 3, 6, 7, 8, 9, 10, 12, 14, 16, 18, 21, 24, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 127, 128, 129, 130 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n) = SUM[from i = 0 to n] Initial-Digit(A007090(n)). a(n) = SUM{from i = 0 to n} first-digit{(i base 4)} where (i base 4) = A007090(i); A007090(0)=0, A007090(i)=10*A007090(i/4) if i==0 (mod 4), A007090(i)= A007090(i-1)+1 otherwise.`
	EXAMPLE	`n Base 4 Init Cum Sum` `0 0 0 0` `1 1 1 1` `2 2 2 3` `3 3 3 6` `4 10 1 7` `5 11 1 8`
	CROSSREFS	`Cf. A007090, A109453.` `Sequence in context: A112267 A068985 A081391 this_sequence A048748 A030781 A073417` `Adjacent sequences: A073847 A073848 A073849 this_sequence A073851 A073852 A073853`
	KEYWORD	`base,easy,nonn`
	AUTHOR	`Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 28 2005`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

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