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umbral and tetration
#1
http://mathworld.wolfram.com/GeneratingFunction.html

in a simple sequence, example the fib sequence we have

https://en.wikipedia.org/wiki/Fibonacci_number

x²-x-1 = 0

evalueting the generating function with a number, example 10

f(10) = 10² - 10 - 1 = 89

with the power sum of the fib multiplied by 10 one get the reciprocal of 89

other sequences

https://en.wikipedia.org/wiki/Hofstadter_sequence
http://mathworld.wolfram.com/MallowsSequence.html


https://en.wikipedia.org/wiki/Umbral_calculus
https://en.wikipedia.org/wiki/1_%2B_2_%2..._summation


Would be possible do some umbral calculus with tetration indexes and series with recurrence inside recurrence ?
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Messages In This Thread
umbral and tetration - by tetration101 - 03/01/2020, 10:47 PM
RE: umbral and tetration - by Daniel - 03/02/2020, 12:05 AM
RE: umbral and tetration - by tetration101 - 03/02/2020, 05:19 AM
RE: umbral and tetration - by Daniel - 03/02/2020, 06:28 AM



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