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A169894 Table of carryless sums i + j, i>=0, j>=0, read by antidiagonals. 2
0, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 11, 11, 1, 1, 1, 1, 1, 1, 1, 1, 11, 11, 12, 12, 12, 2, 2, 2, 2, 2, 2, 2, 12, 12, 12, 13, 13, 13, 13, 3, 3 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..96.

Index entries for sequences related to carryless arithmetic

EXAMPLE

Table begins:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ...

1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 11, 12, 13, 14, 15, 16 ...

2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 12, 13, 14, 15, 16, 17 ...

3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 13, 14, 15, 16, 17, 18 ...

4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 14, 15, 16, 17, 18, 19 ...

...

MAPLE

A169894 := proc(a, b)

    local adigs, bdigs, cdigs ;

    adigs := convert(a, base, 10) ;

    bdigs := convert(b, base, 10) ;

    len := max(nops(adigs), nops(bdigs)) ;

    adigs := [op(adigs), seq(0, d=1..len-nops(adigs))] ;

    bdigs := [op(bdigs), seq(0, d=1..len-nops(bdigs))] ;

    cdigs := [] ;

    for d from 1 to len do

        cdigs := [op(cdigs), A010879(op(d, adigs)+op(d, bdigs))] ;

    end do:

    add(op(d, cdigs)*10^(d-1), d=1..len) ;

end proc: # R. J. Mathar, Jul 12 2013

CROSSREFS

Cf. A004520 (diagonal).

Sequence in context: A214972 A225687 A083291 * A003056 A117707 A163352

Adjacent sequences:  A169891 A169892 A169893 * A169895 A169896 A169897

KEYWORD

nonn,base,tabl

AUTHOR

David Applegate, Marc LeBrun and N. J. A. Sloane, Jul 06 2010

STATUS

approved

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Last modified October 15 20:04 EDT 2019. Contains 328037 sequences. (Running on oeis4.)