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A134631 a(n) = 5*n^5 - 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order. 1
0, 4, 144, 1152, 4960, 15300, 38304, 83104, 162432, 293220, 497200, 801504, 1239264, 1850212, 2681280, 3787200, 5231104, 7085124, 9430992, 12360640, 15976800, 20393604, 25737184, 32146272, 39772800, 48782500, 59355504, 71686944, 85987552, 102484260, 121420800, 143058304, 167675904, 195571332, 227061520 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..34.

FORMULA

a(n) = 5*n^5 - 3*n^3 + 2*n^2.

G.f.: 4x*(1+30x+87x^2+32x^3)/(1-x)^6. - R. J. Mathar, Nov 14 2007

EXAMPLE

a(4)=4960 because 4^5=1024, 5*1024=5120, 4^3=64, 3*64=192, 4^2=16, 2*16=32 and we can write 5120 - 192 + 32 = 4960.

PROG

(MAGMA)[5*n^5-3*n^3+2*n^2: n in [0..50]] // Vincenzo Librandi, Dec 14 2010

CROSSREFS

Cf. A000290, A000578, A000584, A045991, A100019, A133071.

Sequence in context: A053897 A017294 A273698 * A036511 A263386 A186720

Adjacent sequences:  A134628 A134629 A134630 * A134632 A134633 A134634

KEYWORD

nonn

AUTHOR

Omar E. Pol, Nov 04 2007

EXTENSIONS

More terms from Vincenzo Librandi, Dec 14 2010

STATUS

approved

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Last modified January 18 05:30 EST 2019. Contains 319269 sequences. (Running on oeis4.)