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A352346 Common terms between A061078 and A061077. 1
26, 52, 148, 280, 320, 454, 1150, 1480, 8000, 41650, 80300, 165656, 166088, 614900, 2353700, 2859460, 28233200, 66130400, 68941640, 85717240, 107300320, 131507080, 155478800, 207666520, 1426680920, 1824596800, 2468014900, 2475648820, 5342351060, 5355218900, 5857281500, 8550475900, 36025361120 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Smarandache's conjecture: there are infinitely many terms.
This is a subsequence of A061076.
REFERENCES
A. Murthy, Smarandache friendly numbers and a few more sequences, Smarandache Notions Journal, Vol. 12, No. 1-2-3, Spring 2001. Page 267
LINKS
EXAMPLE
26 is a term of this sequence, in fact:
26 = 1+3+5+7+9+1*1 (A061077(6)=26);
26 = 2+4+6+8+1*0+1*2+1*4 (A061078(7)=26).
MATHEMATICA
Intersection[Accumulate[Times @@@ IntegerDigits[Range[2, 10000000, 2]]],
Accumulate[Times @@@ IntegerDigits[Range[1, 10000000, 2]]]]
PROG
(Python)
from math import prod
from itertools import islice
def A352346_gen(): # generator of terms
n1, m1, n2, m2 = 1, 1, 2, 2
while True:
if m1 == m2:
yield m1
k = 0
while k == 0:
n1 += 2
m1 += (k := prod(int(d) for d in str(n1)))
while m2 < m1:
n2 += 2
m2 += prod(int(d) for d in str(n2))
A352346_list = list(islice(A352346_gen(), 20)) # Chai Wah Wu, Mar 21 2022
CROSSREFS
Sequence in context: A040650 A252994 A288162 * A214476 A121738 A335475
KEYWORD
nonn,base
AUTHOR
Luca Onnis, Mar 12 2022
STATUS
approved

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Last modified August 19 05:55 EDT 2024. Contains 375284 sequences. (Running on oeis4.)