

A230429


Triangle T(n,k) giving the largest member of "the infinite trunk of factorial beanstalk" (A219666) whose factorial base representation contains n digits (A084558) and the most significant such digit (A099563) is k.


4



1, 2, 5, 10, 17, 23, 46, 70, 92, 119, 238, 358, 476, 597, 719, 1438, 2158, 2876, 3597, 4319, 5039, 10078, 15118, 20156, 25197, 30239, 35279, 40319, 80638, 120958, 161276, 201597, 241919, 282239, 322558, 362879, 725758, 1088638, 1451516, 1814397, 2177279, 2540159, 2903038, 3265912, 3628799
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OFFSET

1,2


COMMENTS

See A007623 for the factorial number system representation.


LINKS

Table of n, a(n) for n=1..45.


EXAMPLE

The first rows of this triangular table are:
1;
2, 5;
10, 17, 23;
46, 70, 92, 119;
238, 358, 476, 597, 719;
...
T(3,1) = 10 as 10 has factorial base representation 120, which is the largest such three digit term in A219666 beginning with factorial base digit 1 (in other words, for which A084558(x)=3 and A099563(x)=1).
T(3,2) = 17 as 17 has factorial base representation 221, which is the largest such three digit term in A219666 beginning with factorial base digit 2.
T(3,3) = 23 as 23 has factorial base representation 321, which is the largest such three digit term in A219666 beginning with factorial base digit 3.


PROG

(Scheme)
(define (A230429 n) (if (= (A002024 n) (A002260 n)) ( (A000142 (+ (A002024 n) 1)) 1) (A219651 (A230428 (+ 1 n)))))


CROSSREFS

Subset of A219666. Corresponding smallest terms: A230428. Can be used to compute A230420. Right edge: A033312.
Sequence in context: A238804 A030723 A077166 * A003192 A018682 A078393
Adjacent sequences: A230426 A230427 A230428 * A230430 A230431 A230432


KEYWORD

nonn,base,tabl


AUTHOR

Antti Karttunen, Oct 18 2013


STATUS

approved



