This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A109804 Cumulative sum of initial digits of (n base 6). 0
 0, 1, 3, 6, 10, 15, 16, 17, 18, 19, 20, 21, 23, 25, 27, 29, 31, 33, 36, 39, 42, 45, 48, 51, 55, 59, 63, 67, 71, 75, 80, 85, 90, 95, 100, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES A. Cobham, Uniform Tag Sequences, Mathematical Systems Theory, 6 (1972), 164-192. LINKS FORMULA n (base 6) = A007092(n) A007092(0)=0, A007092(n)=10* A007092(n/6) if n==0 (mod 6), A007092(n)= A007092(n-1)+1 otherwise. - Benoit Cloitre, Dec 22 2002 a(n) below is sum_{i=0..n} first-digit{(i base 6)}. a(n) = sum_{i=1..n} floor(n / 6^floor(log_6(n))) where log_6(n) is the logarithm to base 6. a(n+1) = a(n) + first-digit-of((n+1) (base 6)). EXAMPLE n Base 6 Initial Cumulative Sum 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 6 4 4 4 10 5 5 5 15 MATHEMATICA Accumulate[Table[First[IntegerDigits[n, 6]], {n, 0, 70}]] (* Harvey P. Dale, Oct 07 2012 *) CROSSREFS Cf. A000030, A109453. Sequence in context: A259604 A130484 A074374 * A231672 A120993 A194458 Adjacent sequences:  A109801 A109802 A109803 * A109805 A109806 A109807 KEYWORD base,easy,nonn AUTHOR Jonathan Vos Post, Aug 30 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 14 09:25 EDT 2019. Contains 327995 sequences. (Running on oeis4.)