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Larger of corresponding digits of Pi and e.
+10
5
3, 7, 4, 8, 5, 9, 2, 8, 5, 8, 5, 8, 9, 7, 9, 5, 2, 3, 8, 4, 6, 2, 6, 8, 7, 4, 8, 3, 3, 7, 9, 6, 6, 2, 8, 9, 7, 7, 9, 7, 2, 6, 9, 3, 9, 9, 6, 9, 9, 9, 5, 9, 8, 7, 4, 9, 7, 6, 9, 6, 7, 6, 9, 7, 7, 2, 7, 8, 7, 6, 6, 3, 6, 3, 8, 6, 5, 4, 8, 9, 9, 8, 6, 7, 8, 3, 8
EXAMPLE
1st digit of Pi and e are 3 and 2, so a(1) = max(3,2) = 3.
2nd digit of Pi and e are 1 and 7, so a(2) = max(1,7) = 7.
3rd digit of Pi and e are 4 and 1, so a(3) = max(4,1) = 4.
3.74859285858979523846268748337966289779726939969995987...
MATHEMATICA
Module[{nn=100, pd, ed}, pd=RealDigits[Pi, 10, nn][[1]]; ed=RealDigits[E, 10, nn][[1]]; Max/@Thread[{pd, ed}]] (* Harvey P. Dale, Feb 10 2022 *)
Decimal expansion of the "e*Pi" constant c_0*d_0 + c_1*d_1/10 + c_2*d_2/100 + c_3*d_3/1000 + ... where c_0 + c_1/10 + c_2/100 + c_3/1000 + ... and d_0 + d_1/10 + d_2/100 + d_3/1000 + ... (with c_k, d_k in the range 0 to 9) are the decimal expansions of e and Pi.
+10
4
6, 7, 4, 9, 7, 2, 6, 9, 2, 6, 4, 8, 1, 3, 7, 5, 5, 3, 1, 5, 6, 1, 5, 4, 2, 7, 6, 3, 9, 7, 1, 0, 0, 7, 9, 4, 9, 1, 9, 9, 5, 0, 3, 8, 3, 9, 4, 7, 5, 9, 4, 9, 1, 4, 8, 5, 5, 2, 3, 7, 1, 1, 9, 6, 1, 2, 8, 1
EXAMPLE
Equals 6.7497269264813755315615427639710079491995038394759491485523711961281...,
which is 6 + 7/10 + 4/10^2 + 8/10^3 + 10/10^4 + 72/10^5 + 2/10^6 + 48/10^7 + 10/10^8 + 24/10^9 + ...
Decimal expansion of the "Pi AND e" (Piande) constant.
+10
2
2, 1, 4, 1, 1, 3, 2, 3, 5, 4, 8, 5, 3, 3, 1, 5, 5, 4, 8, 3, 3, 3, 4, 2, 8, 8, 2, 1, 2, 3, 9, 8, 5, 7, 0, 5, 7, 1, 1, 8, 2, 8, 6, 4, 1, 4, 9, 6, 7, 3, 1, 4, 3, 6, 7, 2, 5, 3, 6, 8, 8, 0, 7, 9, 4, 0, 1, 3, 5, 7, 5, 6, 8, 5, 8, 8, 2, 6, 5, 7, 6, 3, 2, 9, 9, 4, 6, 5, 4, 8, 2, 5, 1, 2, 5, 8, 6, 5, 8, 2, 1, 0, 8, 5
COMMENTS
Pi_2 = 11.00100100001111110... -> 3.1415926535897...
e_2 = 10.10110111111000010... -> 2.7182818284590...
Pi_2 AND e_2 = 10.00100100001000010... -> 2.1411323548533...
EXAMPLE
2.1411323548533155483334288212398570571182864149673143672536880794...
CROSSREFS
Cf. A000796, A001113, A004593, A004601, A019609, A059742, A114916, A228239, A231325, A292101, A292107, A291858.
Decimal expansion of the "Pi OR e" (Piore) constant.
+10
2
3, 7, 1, 8, 7, 4, 2, 1, 2, 7, 1, 9, 5, 5, 2, 2, 9, 2, 5, 4, 8, 9, 5, 0, 2, 0, 3, 3, 3, 9, 2, 3, 0, 8, 3, 2, 4, 8, 3, 6, 1, 3, 0, 0, 7, 8, 1, 0, 7, 7, 5, 1, 0, 2, 8, 6, 8, 8, 2, 2, 4, 1, 4, 0, 6, 3, 0, 5, 3, 5, 4, 6, 8, 0, 5, 1, 4, 9, 0, 8, 2, 9, 8, 9, 9, 9, 5, 1, 5, 2, 1, 3, 5, 4, 6, 9, 6, 9, 1, 3, 3, 0, 1
COMMENTS
Pi_2 = 11.00100100001111110... -> 3.1415926535897...
e_2 = 10.10110111111000010... -> 2.7182818284590...
Pi_2 OR e_2 = 11.10110111111111110... -> 3.7187421271955...
EXAMPLE
3.71874212719552292548950203339230832483613007810775102868822414063...
CROSSREFS
Cf. A000796, A001113, A004593, A004601, A019609, A059742, A114916, A228239, A231325, A292101, A292107, A291854.
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