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A340125
Numbers whose sum of even digits and sum of odd digits are equal and whose digits are in nondecreasing order.
1
0, 112, 134, 156, 178, 336, 358, 1223, 1245, 1267, 1289, 1447, 1469, 2334, 2356, 2378, 2558, 3445, 3467, 3489, 3669, 4556, 4578, 5667, 5689, 6778, 7889, 11114, 11136, 11158, 11338, 12225, 12247, 12269, 12449, 22233, 22345, 22367, 22389, 22556, 22578, 23447, 23469, 24455
OFFSET
1,2
LINKS
EXAMPLE
1223 is in the sequence as the sum of the odd digits is 1 + 3 = 4 and the sum of the even digits is 2 + 2 = 4 are equal.
PROG
(PARI) is(n) = { my(d = digits(n), w = vector(2)); if(d != vecsort(d), return(0)); for(i = 1, #d, w[d[i]%2 + 1] += d[i] ); w[1] == w[2] }
(Python)
def ok(n):
digs = list(map(int, str(n)))
return sorted(digs) == digs and sum(d*(-1)**d for d in digs) == 0
def aupto(lim): return [m for m in range(lim+1) if ok(m)]
print(aupto(24455)) # Michael S. Branicky, Feb 21 2021
CROSSREFS
Intersection of A009994 and A036301.
Sequence in context: A359142 A329719 A157662 * A095615 A361339 A061281
KEYWORD
nonn,base
AUTHOR
David A. Corneth, Feb 21 2021
STATUS
approved