A125303 Each number in this sequence is the reversal of the sum of its proper substrings.

891, 941, 2931, 5401, 78281, 861761, 67304951, 77171861, 757603751, 6346449411, 6517798231

Offset

1,1

Links

Table of n, a(n) for n=1..11.

Example

For example, the sum of the proper substrings of 891 is 8 + 9 + 1 + 89 + 91 = 198 and 198 reversed is the number itself.
5401 is included because 540 + 401 + 54 + 40 + 5 + 4 + 0 + 1 = 1045, which is 5401 backwards.

Prog

(Python)
def ok(n):
    w = str(n)
    ss = set(int(w[i:j+1]) for i in range(len(w)) for j in range(i, len(w)))
    return n > 9 and n == int(str(sum(s for s in ss if s != n))[::-1])
print([k for k in range(80000) if ok(k)]) # Michael S. Branicky, Apr 02 2022

Crossrefs

Sequence in context: A204366 A266915 A124666 * A087672 A284842 A083827

Adjacent sequences: A125300 A125301 A125302 * A125304 A125305 A125306

Keyword

base,more,nonn

Author

Tanya Khovanova, Dec 09 2006

Extensions

More terms from Paul Richards, Sep 25 2007

a(7)-a(11) from Donovan Johnson, Nov 30 2008

Status

approved