login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A230417 Lower triangular region of A230415, a triangular table read by rows: T(n, k) tells in how many digit positions the factorial base representations (A007623) of n and k differ, where (n, k) = (0,0), (1,0), (1,1), (2,0), (2,1), (2,2), ..., n >= 0 and (0 <= k <= n). 5
0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 0, 2, 1, 3, 2, 3, 2, 1, 0, 2, 3, 1, 2, 2, 3, 1, 2, 0, 3, 2, 2, 1, 3, 2, 2, 1, 1, 0, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2, 0, 3, 2, 3, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 2, 3, 0, 2, 1, 3, 2, 3, 2, 2, 1, 3, 2, 3, 2, 1, 0, 2, 3, 1, 2, 2, 3, 2, 3, 1, 2, 2, 3, 1, 2, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Antti Karttunen, Rows n = 0..120 of triangle, flattened

FORMULA

a(n) = A230415bi(A003056(n),A002262(n)). [As a sequence, this is obtained by taking a subsection from array A230415.]

T(n,0) = A060130(n) [the leftmost column].

For n >= 1, T(n,n-1) = A055881(n) [the last nonzero column].

Each entry T(n,k) <= A231714(n,k).

EXAMPLE

This triangular table begins:

  0;

  1, 0;

  1, 2, 0;

  2, 1, 1, 0;

  1, 2, 1, 2, 0;

  2, 1, 2, 1, 1, 0;

  1, 2, 2, 3, 2, 3, 0;

  ...

Please see A230415 for examples how the terms are computed.

PROG

(Scheme)

(define (A230417 n) (A230415bi (A003056 n) (A002262 n)))

(define (A230415bi x y) (let loop ((x x) (y y) (i 2) (d 0)) (cond ((and (zero? x) (zero? y)) d) (else (loop (floor->exact (/ x i)) (floor->exact (/ y i)) (+ i 1) (+ d (if (= (modulo x i) (modulo y i)) 0 1)))))))

CROSSREFS

This is a lower, or equivalently, an upper triangular subregion of symmetric square array A230415.

Cf. A231714, A060130, A055881.

Sequence in context: A287267 A317540 A133701 * A287263 A102442 A091182

Adjacent sequences:  A230414 A230415 A230416 * A230418 A230419 A230420

KEYWORD

nonn,base,tabl

AUTHOR

Antti Karttunen, Nov 10 2013

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 2 21:30 EDT 2021. Contains 346429 sequences. (Running on oeis4.)