A329623 The absolute value of the difference between n and A053392(n), the concatenation of the sums of every pair of consecutive digits of n.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 45, 45, 45, 45, 45, 45, 45, 45, 45, 45, 54, 54, 54, 54, 54, 54, 54, 54, 54, 54, 63

Offset

0,3

Comments

As A040115 forms the basis of an iterative sequence leading to A329200 and A329201, this sequence forms the basis of a similar sequence A329624. As the concatenation of the digit sum can lead to a value larger than the original term we must take the absolute value of the difference to ensure subsequent terms are always positive. The largest value in the first 10000 terms is a(9991) = 171819.

Links

Scott R. Shannon, Table of n, a(n) for n = 0..10000

Example

a(9) = 9 as A053392(9) = 0 and | 9 - 0 | = 9.
a(10) = 10 as A053392(10) = 1 and | 10 - 1 | = 9.
a(100) = 90 as A053392(100) = 10 and | 100 - 10 | = 90.
a(119) = 91 as A053392(119) = 210 and | 119 - 210 | = 91.

Maple

A329623 := proc(n)
    abs(n-A053392(n)) ;
end proc: # R. J. Mathar, Dec 11 2019

Prog

(PARI) A329623(n)=abs(n-A053392(n)) \\ M. F. Hasler, Dec 02 2019

Crossrefs

Cf. A040115, A053392, A053393, A329200, A329201, A329624.

Sequence in context: A358098 A257779 A328865 * A285762 A185137 A368906

Adjacent sequences: A329620 A329621 A329622 * A329624 A329625 A329626

Keyword

nonn,base

Author

Scott R. Shannon, Nov 19 2019

Status

approved