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A242622 a(n) = number of numbers with digit sum n, not greater than the n-th repunit (cf. A052222). 4
1, 1, 2, 6, 21, 77, 287, 1079, 4082, 15522, 59271, 227131, 873051, 3364827, 12998867, 50321075, 195162350, 758156366, 2949614789, 11490869489, 44819531180, 175009397380, 684059403670, 2676260628574, 10479320689274, 41065736472890, 161043272100440, 631974335773536 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) = length of row n in triangle A242614.

LINKS

Jens Kruse Andersen, Table of n, a(n) for n = 0..100

PROG

(Haskell)

a242622 = length . a242614_row

(PARI) \\ c[x, y] = #numbers < 10^x with digit sum y-1.

m=50; c=matrix(m, m+1); for(x=1, m, for(y=1, m+1, c[x, y]=sum(d=0, min(9, y-1), if(x>1, c[x-1, y-d], d==y-1)))); for(n=0, m, print1(1+sum(i=2, n, c[i-1, i+1])", ")); \\ Jens Kruse Andersen, Jul 17 2014

CROSSREFS

Sequence in context: A294825 A101265 A101879 * A279561 A294048 A063023

Adjacent sequences:  A242619 A242620 A242621 * A242623 A242624 A242625

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Jul 16 2014

EXTENSIONS

More terms from Jens Kruse Andersen, Jul 17 2014

STATUS

approved

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Last modified August 17 17:06 EDT 2019. Contains 326059 sequences. (Running on oeis4.)