== (1) recurrences ==
PASS  m_2n, first 154 terms (sizes of the program of the note): no recurrence for (r,d) in [(4, 27), (8, 14), (14, 8)]
PASS  n! m_2n, first 154 terms (sizes of the program of the note): no recurrence for (r,d) in [(4, 27), (8, 14), (14, 8)]
PASS  m_2n/(2n)!, first 154 terms (sizes of the program of the note): no recurrence for (r,d) in [(4, 27), (8, 14), (14, 8)]
PASS  k_2n, first 154 terms (sizes of the program of the note): no recurrence for (r,d) in [(4, 27), (8, 14), (14, 8)]
PASS  n! k_2n, first 154 terms (sizes of the program of the note): no recurrence for (r,d) in [(4, 27), (8, 14), (14, 8)]
PASS  m_2n, first 281 terms (sizes of the second earlier run): no recurrence for (r,d) in [(2, 89), (4, 52), (8, 28), (14, 16), (24, 8)]
PASS  n! m_2n, first 281 terms (sizes of the second earlier run): no recurrence for (r,d) in [(2, 89), (4, 52), (8, 28), (14, 16), (24, 8)]
PASS  m_2n/(2n)!, first 281 terms (sizes of the second earlier run): no recurrence for (r,d) in [(2, 89), (4, 52), (8, 28), (14, 16), (24, 8)]
PASS  k_2n, first 281 terms (sizes of the second earlier run): no recurrence for (r,d) in [(2, 89), (4, 52), (8, 28), (14, 16), (24, 8)]
PASS  n! k_2n, first 281 terms (sizes of the second earlier run): no recurrence for (r,d) in [(2, 89), (4, 52), (8, 28), (14, 16), (24, 8)]
   (1s)
== (2) integer relations (floating point, 45 digits; not a proof of anything) ==
PASS  no integer polynomial of degree <= 10 with coefficients up to 10^4 vanishing at c (to 38 digits)
PASS  no integer polynomial of degree <= 10 with coefficients up to 10^4 vanishing at c^2 (to 38 digits)
PASS  no integer polynomial of degree <= 10 with coefficients up to 10^4 vanishing at w (to 38 digits)
PASS  no integer polynomial of degree <= 10 with coefficients up to 10^4 vanishing at 1/w (to 38 digits)
PASS  no integer relation with coefficients up to 100 between c and 1, pi, pi^2, sqrt2, sqrt3, log2, e^pi, e^-pi, e^(pi/2)
PASS  no integer relation with coefficients up to 100 between c^2 and 1, pi, pi^2, sqrt2, sqrt3, log2, e^pi, e^-pi, e^(pi/2)
PASS  no integer relation with coefficients up to 100 between w and 1, pi, pi^2, sqrt2, sqrt3, log2, e^pi, e^-pi, e^(pi/2)
TOTAL failures: 0   (2s)
