# eric

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 Apr28 comment Find the series from a non-geometric sequenceThe final formula you give is also the closest I could find to match the data, but as I'm working with real observations I'd like to find something that matches it more precisely. It's the initial 0,2 that's giving me trouble. Apr28 comment Find the series from a non-geometric sequence@TMM I would like to know the formula that describes the third sequence (0 2 4 6 16 34 60 94). Even if there are dozens, I'd be grateful to learn some or all of them, whose predictions I can test against my data. The sequence is derived from empirical observations of dividing cells (i.e., there are 2 differentiated cells after the first cycle, 4 cells after the second, 6 after the third, etc.) up to 8 cycles. I hope that clarifies things. Apr28 awarded Student Apr28 revised Find the series from a non-geometric sequenceadded 3 characters in body Apr28 comment Find the series from a non-geometric sequenceI have figured out the first of the two sequences, which can be written as $\sum_{i=1}(2(n_i - 2 + 2/n_i)*n_i$, but I'm still struggling with the second. The $n_i$ are dividing cells, which may undergo several rounds of asymmetric self-renewal before differentiating, which is why the first two numbers in the sequence are zero (no differentiated cells generated in cycles 0 or 1). I think the first zero can be lopped off, so the second sequence will read: 0 2 4 6 16 34 60 94. Apr28 revised Find the series from a non-geometric sequenceadded 6 characters in body Apr28 asked Find the series from a non-geometric sequence Apr25 comment program for eigenvalue calculationUsing eigen(A) in R gives an odd result, not the one I'm expecting, anyhow, so I'll try my hand at Octave, see what comes out. Thanks again for your help. Apr25 comment program for eigenvalue calculationIs it possible to compute steps a-c above in R, if I have a small sparse matrix (6 x 6)? I have tried using the basic functions svd() and qr() to get dominant eigenvalues and decomposition of the matrix, but the results are not ideal (i.e., wrong or not iterated enough to converge on a plausible answer). Apr25 awarded Editor Apr25 revised program for eigenvalue calculationadded 9 characters in body Apr25 asked program for eigenvalue calculation