A143651 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A143651

(0, 1, 2, 3, 2^2, 5, 2*3, 7, 2^3, 3^2, 2*5, 11, 2^2*3, 13, ...) becomes (0^1 + 2, 3^2 + 2, 5^2 + 3, 7^2 + 3, 3^2 + 2, 5^11 + 2, 2^3 + 13, ...).

2, 11, 28, 52, 11, 48828127, 21, 131, 29, 292, 524290, 35, 60, 532, 245, 8195, 11, 3219905755813179726837609, 274, 35, 138, 78127, 10, 1388, 1594325, 284, 15, 1851, 1333, 48, 2213, 2189, 34, 129140165, 8245, 11, 48828127, 2190, 390, 3483, 304

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..41.

EXAMPLE

0^1 + 2 = 0 + 2 = 2 = a(1).

3^2 + 2 = 9 + 2 = 11 = a(2).

5^2 + 3 = 25 + 3 = 28 = a(3).

7^2 + 3 = 49 + 3 = 52 = a(4).

3^2 + 2 = 9 + 2 = 11 = a(5).

5^11 + 2 = 48828125 + 2 = 48828127 = a(6).

2^3 + 13 = 8 + 13 = 21 = a(7).

2^7 + 3 = 128 + 3 = 131 = a(8), etc.

MAPLE

pflat2 := proc(nmax) local a, ifs, n, p, c ; a := [0, 1] ; for n from 2 to nmax do ifs := ifactors(n)[2] ; for p in ifs do a := [op(a), op(1, p)] ; if op(2, p) > 1 then a := [op(a), op(2, p)] ; fi; od: od: a ; end: pL := pflat2(120) : for n from 1 to nops(pL)-4 by 3 do printf("%d, ", op(n, pL)^op(n+1, pL)+op(n+2, pL) ) ; od: # R. J. Mathar, Nov 06 2008

CROSSREFS

Cf. A141269, A141270.

Sequence in context: A139211 A254196 A161527 * A054552 A296288 A277361

Adjacent sequences: A143648 A143649 A143650 * A143652 A143653 A143654

KEYWORD

nonn

AUTHOR

Juri-Stepan Gerasimov, Nov 01 2008

EXTENSIONS

a(11) corrected, extended by R. J. Mathar, Nov 06 2008

STATUS

approved