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A230428 Triangle T(n,k) giving the smallest term in "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, 7, 12, 23, 25, 48, 74, 97, 121, 240, 362, 481, 605, 721, 1440, 2162, 2881, 3605, 4326, 5041, 10080, 15122, 20161, 25205, 30246, 35288, 40321, 80640, 120962, 161281, 201605, 241926, 282248, 322568, 362881, 725760, 1088642, 1451521, 1814405, 2177286, 2540168, 2903048, 3265923 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

EXAMPLE

The first rows of this triangular table are:

1;

2, 5;

7, 12, 23;

25, 48, 74, 97;

121, 240, 362, 481, 605;

...

T(3,1) = 7 as 7 has factorial base representation 101, which is the smallest 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) = 12 as 12 has factorial base representation 200, which is the smallest 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 smallest such three digit term in A219666 beginning with factorial base digit 3.

PROG

(Scheme)

(define (A230428 n) (if (< n 3) n (let ((k (A002260 n))) (let loop ((i (A230429 n)) (prev_i 0)) (cond ((not (= (A099563 i) k)) prev_i) (else (loop (A219651 i) i)))))))

CROSSREFS

Subset of A219666. Corresponding largest terms: A230429. Cf. also A230420.

Sequence in context: A029938 A213044 A269769 * A071013 A114727 A295334

Adjacent sequences:  A230425 A230426 A230427 * A230429 A230430 A230431

KEYWORD

nonn,base,tabl

AUTHOR

Antti Karttunen, Oct 18 2013

STATUS

approved

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Last modified July 1 21:46 EDT 2022. Contains 354975 sequences. (Running on oeis4.)